Describe the translation in each function. Then graph the function.

Y=x^2 + 4

Please give a detailed answer I don't understand

Answers

Answer 1

It's a Quadratic that doesn't have any real roots as the parabola doesn't cross the x-axis.

For graphing:

If you're familiar with the parabola of y=x^2, then you could graph that but just translate it upwards by +4 on the y such that f(x)+4 will be equal to it.

If you aren't, then we know the y-intercept is 4, and that's also the point of the minimum point of the curve. If I were you, I'd write a table of some of the integer values:

x y

-2 8

-1 5

0 4

1 5

2 8

The value of y is the same for x and -x as anything squared is positive.This means that there is a line of symmetry in the y-axis.

This then makes it much easier to graph, simply place these points on the graph and make sure the curve is exponential. This means the gradient (steepness) gets greater the bigger the value of x.


Related Questions

Pls answer and quick, i'll give brainlist

Answers

Answer:

17.5

Step-by-step explanation:

5*3.5

Help help help help

Answers

Step-by-step explanation:

A quotient is a fraction.

A sum is addition.

A variable is an unknown number shown by using a letter.

Therefore, the answers for quotient and variable in this picture should be switched. However, the negative sign has to be included, so the quotient should be a -9/y.

what is the surface area of this design?

Answers

The surface area of the design would be 160

what is the slope of the line that passes through the points (3,-5) and (1,-5)

Answers

Answer:

0

Step-by-step explanation:

1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. All we have to do is plug in the values, and then we get our answer.

2. (Solving)

[tex]\frac{-5-(-5)}{1-3}[/tex] [tex]\frac{-5+5}{-2}[/tex] [tex]\frac{0}{-2}[/tex] [tex]0[/tex]

Therefore, the slope is 0.

5. A sculptor has a cube of marble with a volume of 1,000 cubic feet.

a. Write an equation relating s, the length of a side of the cube, and
the volume.

b. What is the length of each side of the cube?

Answers

B po ang sagot tamang tamang po ang tama po iyan

Make A the subject of the formula
r=1
А
3

Answers

Step-by-step explanation:

[tex]r = \sqrt{ \frac{А}{3} } [/tex]

[tex] {r}^{2} = \frac{А}{3} [/tex]

[tex]А = 3{r}^{2} [/tex]

HOPE IT HELPS YA

The area of a parallelogram is 64 square feet. If the base is 10 square feet long, what is the height?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Area of parallelogram :

[tex]base \times height[/tex]

[tex]10 \times h = 64[/tex]

[tex]h = \dfrac{64}{10} [/tex]

[tex]h = 6.4[/tex]

Height of a parallelogram is 6.4 feet

Factorise
x2 + 5x - 24

Answers

Answer:

(x+8)(x-3)

Step-by-step explanation:

x2+5x-24

product 1 ×-24= -24

sum -3 and 8(x2 -3x )(+ 8x -24)x(x-3) +8(x-3)(x+8)(x-3)

what is the domain of h please help :(((((((​

Answers

Answer:

Domain is X-values

Range is Y-VALUES

domain as follows: -7,-3, -1, 1, and 4

Range as follows: -2,7, 6, and 3

I think the domain of h is 3

Step-by-step explanation:

I need help! I don’t know this problem can you figure this out?

Answers

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

Remember that the two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.

The exterior angle is m < 2a°, while the remote interior angles inside the triangle are m < (a + 10)° and m < 44°.

The following equality statement reflects the exterior angle theorem:

m < (a + 10)° + m < 44° = m < 2a°

At this point, you could solve for the value of "a" algebraically:

a + 10 + 44 = 2a

a + 54 = 2a

Subtract "a" from both sides:
a - a + 54 = 2a - a
54 = a

Now that you have the value for a = 54, substitute this value into the given angles to know their measures:

m < (a + 10)° + m < 44° = m < 2a°

m < [(54) + 10] + m < 44 = m < 2(54)

m < 64° + m< 44° = m < 108°

Therefore:

m < (a + 10)° = 64°
m < 2a° = 108°

Evaluate the expression.

{[(20−32)÷(−6)]2−11}÷(−7)

What is the value of the expression?

Enter your answer in the box.

Answers

The value of the expression is 1

From the question,

We are to evaluate the value of the expression {[(20−32)÷(−6)]2−11}÷(−7)

To do this, we will clear the brackets one after the other.

The expression can be simplified as shown below:

{[(20−32)÷(−6)]2−11}÷(−7)

{[(-12)÷(−6)]2−11}÷(−7)

Then, we get

{[2]2−11}÷(−7)

{4−11}÷(−7)

{-7}÷(−7)

-7 ÷ -7

= 1

Hence, the value of the expression is 1

Learn more here: https://brainly.com/question/24421152

(0, -4) and (-1, -2)
Write the slope intercept form of the equation for f the line through the given points

Answers

Answer:

y = -2x - 4

Step-by-step explanation:

First, I'll find the slope by subtracting the y-values and x-values of each point from each other, as shown below:

(-2 - (-4))/(-1 - 0) = 2/-1 = -2

We already have the y=intercept: (0, -4). From this, we can write a y = mx + b (slope intercept form) equation, with m being our slope and b being our y-intercept. It looks like y = -2x - 4.

help me please asapppppp it should be marked in 10mins


the underline digit is 8​

Answers

face value: 8

place value: 10 thousandths place

real value: 80 thousand

(i believe these are correct hope this helps)

Which best represents the domain for Golf Galore?


A. All real numbers

B. 1 ≤ x ≤ 3

C. { 1 ,2 ,3 }

D. x ≤ 3

Answers

Answer:

explain below

Step-by-step explanation:

I think this question missed some part like the minimum and maximum reservation time (such as 1 to 3 hours), if so.. the answer is B. 1≤x≤3

dinosuar09 says:

Sooo I need help doing this math problem

3/4 is equal to what desimal

a. 0.34
b. 2.5
c. 0.75
d. 0.3

Answers

Answer:

the answer is C

Step-by-step explanation:

3/4 = 0.75

C is the answer.If 3/4 was a decimal it would be 0.75 so C

what is 3(2 - 5y) math

Answers

Answer:

-15y + 6

Step-by-step explanation:

3(2 - 5y)(3)(2) + (3)(-5y)6 + (-15y)-15y + 6

Therefore, the answer is -15y + 6.

How do you write 3
17/
18
as a decimal?

Answers

Answer:

3 17/18 rounds up to 3.94

jazz sold 1/2 sack of vegetable pear and 5/2 sack of squash. how many sacks of vegetables did he sell altogether?​

Answers

Answer:

Jazz sold 3(6/2)sacks of vegetables.

Step-by-step explanation:

5/2 + 1/2 = 6/2. If you convert 6/2 into a mixed number you get 3.

One month Dante rented 2 movies and 3 video games for a total of$22 . The next month he rented 4 movies and 8 video games for a total of$57 . Find the rental cost for each movie and each video game.

Answers

Answer:

x = $1.25; y = $6.50

Step-by-step explanation:

Let x be the cost of movies and y be cost of video games.

Month 1 has 2x+3y = 22

So here x = (22-3y)/2 and y = (22-2x)/3

Month 2 has 4x+8y =57

Here x = (57-8y)/4 and y = (57-4x)/8

Now you have two options: Find the y or the x. I will demo the x and you can try the y if you wish.

(22-2x)/3 = (57-4x)/8

176-16x = 171-12x

-4x = -5

x = 1.25

Now with the x found, you plug it into either of the y equations to figure out the other variable.

y = (22-2(1.25))/3

y = 6.5

And to double check:

y = (57-4(1.25))/8

y = 6.5

a triangle has at least 2 acute angles
(always true, never true, or sometimes true)

Answers

Always true. The sum of the measures of all interior angles add up to 180°.

For example, a right triangle will have a right angle (90°) and two acute angles.

An obtuse triangle has an obtuse angle (with a measure that is greater than 90°) and two acute angles.

The three interior angles of an equilateral triangle have a measure of 60 degrees (acute angles).

An isosceles triangle can have 2 angles with a measure of 30 degrees (acute angles), and an obtuse angle (120°).

Given these examples, we can infer that the correct answer is "Always true."

9-3+2x9 explain it please

Answers

Answer:

Answer is

Step-by-step explanation:

9-3+18

9-21

-12

Answer:

24

Step-by-step explanation:

Follow the order of operations and do the multiplication first

2*9=18

Then go from left to right as it is all addition and subtraction from there

9-3+18

9-3=6

6+18=24

(V. An aeroplane is flying parallel to the Earth's surface at a speed of 175 m/sec and at a height of 600 m. The angle of elevation of the aeroplane from a point on the Earth's surface is 37°. After what period of time does the angle of elevation increase to 53° ? (tan 53° = 1.3270, tan 37° = 0.7536) ​

Answers

dot on top of earth = plane position at the time of observation (right one when 37°, left one 53°)

then the geometry is zoomed on the left side

Please help me find the value of X for geometry

Answers

Answer:

Step-by-step explanation:

x=70°

Lines L and M are parallel.
3/4
L
2/5
1 6
38° 7
-M
Find : m 2
Enter the number that
belongs in the green box.
O
?]

Answers

Answer:

38°

Step-by-step explanation:

Alternating angles are equal

x^2-3y^2(3x-2y)^2-(2x-3y)^2 phân tích thành nhân tử

Answers

Answer:

-3(9y^2-12y^3+4y^4+x^2 - 4xy+3y^2)

Step-by-step explanation:

Given: 4(-2x+1) - 2x = 44
Prove:x = -4
Statements...
1
2
3
4
5
Reasons:
1
2
3
4
5

The statement goes with the reason hopefully that makes sense please help me

Answers

Answer:

Step-by-step explanation:

Hello!

I need help please. . .

What is -3x = 5x + 6?

Answers/w explanation. ✅

Nonsense, Or not part the question I ask for will be reported.

Thanks~

Answers

Here’s an Algebraic Proof:

Given: -3x=5x+6


Statement Reasoning
—————— ——————
1.) -3x-5x=5x-5x+6 Subtraction Property of Equality.

2.) -8x=6 Simplification by combining Like Terms

3.) -8x/-8=6/-8 Division Property of Equality

4.) x=-0.75 Definition of equality.

Here’s what we did:
In step 1.), we subtracted 5x from both sides to cancel it out from the right side and combine it with the Like Term of -3x on the left side. In step 2.), we subtracted both -3x by -5x to combine them as Like Terms. In step 3.), we divided -8x by itself to cancel it out, and we divided 6 by -8 on the right side. In step 4.), the quotient is -0.75 because 6/-8 = -0.75.

Feel free to give Brainiest!

Answer:

x=–(3/4)

Step-by-step explanation:

Subtract 5x from both sides:

−3x−5x=5x+6−5x

Simplify:

−8x=6

Divide both sides by −8

−8x/−8 =6/−8

Simplify again, result will be:

x=−(3/4)

There is a rectangular lot in the garden, with 6 ft in length and 4 ft in width. You plan to expand the lot by an equal length around its four sides, and make the area of the expanded rectangle 48 ft^2. How long should you expand the original lot in four directions?


You should expand the original lot by…
Please type ft to represent feet.

Answers

So the amount you are increasing it by is equal on both sides. Firstly let’s look at the factors of 48, (1,2,3,4,6,8,12,16,24 and 48) the only factors that are can be equal increase from 4 and 6 is by 2 ft giving us a length of 8 and a width of 6

Answer:

2 ft

Step-by-step explanation:

Given:

l = 6 ftw = 4 ftExtended area = 48 ft²Extension= x

Find x:

(6 + x)(4 + x) = 48x² + 10x + 24 = 48x² + 10x + 25 = 49(x + 5)² = 49x + 5 = 7x = 7 - 5x = 2

Look at this question

Answers

the answer is joint family

Answer:

it is a joint family.

Step-by-step explanation:

A joint family is a form of family where the grand-parents, father, mother, and children live unitedly under one roof.

I need help with these two

Answers

Answer:

2) D

4) A

Step-by-step explanation:

y=3(x-1)

multiply

3(x-1)

then y=3x-3

y+1=4/3(x+3)

multiply 4/3(x+3)

y=4/3x+3

Answer:

1) D. y = 3x-3

2) A. y = 4/3 x+3

Step-by-step explanation:

1)

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : y-(3*x-3)=0

Step 1:

Equation of a Straight Line

Solve   y-3x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-3x+3  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000

 y-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/1 Our line therefore "cuts" the x axis at x= 1.00000

 x-intercept = 3/3  =  1  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - (-3.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  6.000/2.000 =  3.000  

Geometric figure: Straight Line

 Slope = 6.000/2.000 = 3.000

 x-intercept = 3/3 = 1

 y-intercept = -3/1 = -3.00000

2)

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(4/3*x+3)=0

Step 1:

Simplify   4/3

Equation at the end of step  1:

y -  ((4/3 • x) +  3)  = 0

Step 2: Rewriting the whole as an Equivalent Fraction

Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

3 = 3/1 = 3 · 3/3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4x + 3 · 3/3 = 4x+9/3

Equation at the end of step  2:

y - (4x+9)/3=0

Step 3:

Rewriting the whole as an Equivalent Fraction :

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

y = y/1 = y · 3/3

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

y • 3 - ((4x+9))     3y - 4x - 9

————————————————  =  ———————————

       3                  3      

Equation at the end of step

3

:

 3y - 4x - 9

 ———————————  = 0  

      3      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3y-4x-9

 ——————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3y-4x-9  = 0

Equation of a Straight Line

4.2     Solve   3y-4x-9  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y-4x-9  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000

 y-intercept = 9/3  =  3  

Calculate the X-Intercept :

When y = 0 the value of x is 9/-4 Our line therefore "cuts" the x axis at x=-2.25000

 x-intercept = 9/-4  = -2.25000  

Calculate the Slope :

    Slope     =  2.667/2.000 =  1.333  

Geometric figure: Straight Line

 Slope = 2.667/2.000 = 1.333

 x-intercept = 9/-4 = -2.25000

 y-intercept = 9/3 = 3

Other Questions
Star Wars Trivia!!!!!1) How many movies are there?2) How did Rey beat Palpatine? 3) What is the Resistance, and who is/was the leader? write a hypothesis based on observations and scientific principles of the plasma membrane What is the value of (4/5 a 1/3) x 5^2 + 5/6 expressed in simplest form frisch weht der wind der heimat zu mein irisch kind, wo weilest du? Select all of the following expressions that requireuse of the distributive property to simplify 3^3 log3 4see image Someone pls help me I will make you brain What was the significance of the battle of Antietam? Militarily & Politically What did Lewis and the Minnetarees do late into the night?A) Smoke pipesB) Sit around the fireC) Tell Stories ; bacteria can cause different infections check all that apply This question is really easy please help outline three Characteristios a a great circle Explain the role that the larger nucleus of an oxygen atom plays in creating the polarity of a water molecule show -12 as a fraction Read the excerpt:We have come upon a new time, which has brought new and strange problems. Old problems have assumed new significance. In the adjustment of the new order of things we women demand an equal voice; we shall accept nothing less.Carrie Chapman CattPresidential Address at the 6th IWSA Convention: Is Woman Suffrage Progressing? - June 13, 1911Which conclusion can you draw from this excerpt about womens contributions to the Progressive Movement?A. Women were open to compromise.B. Women were committed to reforming society.C. Women wanted power, even at the expense of other groups.D. Women wanted to return society to traditional ways of doing things. how do you expect the size of the atoms to change as you go from neon to argon to krypton Which statement correctly compares the function shown on this graph withthe function y = 5x + 5?108842-10 -8 6 4 2224 681046A. The function shown on the graph has the same rate of change, buta lower starting point.B. The function shown on the aranh ha Explain how the principles of checks and balances, separation of powers, and judicial review are all examples of limited government. Evaluate their importance to the American way of life.SHORT BUT NOT TOO LONG ANSWER PLEASE There are 3 teaspoons in 1 tablespoon. How many teaspoons are there in 6 tablespoons? The equation y=6.5x represents a proportional relationship. What is the constant of proportionality?