The graph of y = x^2 is translated 1 unit to the right. What is the equation of the new graph?
1) y = (x + 1)^2
2) y = (x - 1)^2
3) y = x^2 + 1
4) y = x^2 - 1

Answers

Answer 1

Answer: 2

Step-by-step explanation:

If the number was OUTSIDE the exponents it represents a movement up or down

If the number is inside the parenthesis and exponent ex: (x-1)^2 then it decides a movement on the left or right

However inside the parenthesis it is reversed, so a - is move to the right and a + is moved to the left, this making your answer (x-1)^2

- Gage Millar, Algebra 2 Tutor


Related Questions

you must use substitution method
x+y=7
2x+y=10

Answers

Answer:

x = 3, y = 4

Step-by-step explanation:

First, set the first equation equal to x. Note the equal sign, what you do to one side, you do to the other.

Subtract y from both sides of the equation:

x + y = 7

x + y (-y) = 7 (-y)

x = 7 - y

Next, plug in 7 - y for x in the second equation:

2x + y = 10

2(7 - y) + y = 10

Simplify. First, distribute 2 to all terms within the parenthesis:

2(7 - y) = (2 * 7) + (2 * -y) = 14 - 2y

Next, combine like terms. Like terms are terms with the same amount of the same variables:

14 - 2y + y = 10

14 (-2y + y) = 10

14 - y = 10

Isolate the variable, y. First, subtract 14 from both sides of the equation:

-y + 14 (-14) = 10 (-14)

-y = 10 - 14

-y = -4

Next, isolate the variable, y, by dividing -1 from both sides of the equation:

(-y)/-1 = (-4)/-1

y = -4/-1 = 4

Next, plug in 4 for y in one fo the given equations:

x + y = 7

x + (4) = 7

Isolate the variable, x. Subtract 4 from both sides of the equation:

x + 4 (-4) = 7 (-4)

x = 7 - 4

x = 3

x = 3, y = 4

How can variables and mayhem expressions be used to show different ways of a pattern?

Answers

Answer:

A variable is a letter or symbol, such as a, b, or x, that represents a number. An algebraic expression is a combination of one or more variables; it may include numbers and operation signs. For example, 2 d 5 is an algebraic expression that could represent two times the figure number plus five.

Step-by-step explanation:

Hope it helps u..pls mark me the Brainliest.pls...

which expression is equivalent to the ghen expression?

Answers

Answer:

3√5

Step-by-step explanation:

Square root of 45

Square Root of 45: √45 = 6.708

We can find the square root of 45 using the following steps:

Step 1: Check whether the number is a perfect square or not. In this case, 45 is not a perfect square as it cannot be broken down into a product of two same numbers.

Step 2: Once the number is checked, the following process needs to be followed:

If the number is a perfect square, it can be written in this format √x2 = x

If it is not a perfect square, the square root is found using the long division method. It can also be written in its simplified radical form.

Since 45 is not a perfect square, we find its square root using the long division method. The simplified radical form of the square root of 45 is given below.

Simplified radical form of the square root of 45-

45 can be written as a product 9 and 5. Hence, square root of 45 can be expressed as, √45 = √(9 × 5) =  3√5. 45 is not a perfect square, hence, it remains within roots. The simplified radical form of the square root of 45 is 3√5.

---------------------------------------------------------------------------------------------------------------

9514 1404 393

Answer:

  C.  3√5

Step-by-step explanation:

Your calculator can help you choose the correct answer.

  [tex]\sqrt{45}=\sqrt{9\cdot5}=\sqrt{9}\cdot\sqrt{5}=\boxed{3\sqrt{5}}[/tex]

_____

Compare the decimal values using your calculator:

  √45 ≈ 6.7

  5√3 ≈ 8.7

  9√5 ≈ 20.1

  3√5 ≈ 6.7

  5√9 = 15

Multiply what time 1/2 to get 540 as answer

Answers

The Answer is 1080! Hope this helps,
Multiplying by 1/2 is like dividing by 2, so what divided by 2 is 540. This can help you figure out the answer.

Answer:

1080

Step-by-step explanation:

636 to the nearest one hundred

Answers

Answer:

600

Step-by-step explanation:

It is less than 650

Answer:

600

Step-by-step explanation:

Becuase when you round by 100's you have to see if the number is greater than 50 or not. In this case it is 636 and it is not greater, then 650.

Rewrite the quadratic equation in standard form 4x^2=2x-6

Answers

Answer:

Answer Below....

Step-by-step explanation:

Answer:

4x^2 - 2x + 6

Step-by-step explanation:

The "standard form" of the quadratic equation is ax^2 + bx + c.

Here we have 4x^2 = 2x - 6, whose terms must be rearranged to resemble ax^2 + bx + c.  Term 4x^2 stays where it is, but + 2x - 6 on the right side must be moved to the left side, which results in:  4x^2 - 2x + 6

Please answer this question!!

Answers

Answer:

the x- coordinate of the turning point is - [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given

y = x² + bx + c with y- intercept = (0, - 14 ) then c = - 14 , so

y = x² + bx - 14

To find b substitute (2, 0 ) into the equation

0 = 2² + 2b - 14

0 = 4 + 2b - 14

0 = - 10 + 2b ( add 10 to both sides )

10 = 2b ( divide both sides by 2 )

5 = b , then

y = x² + 5x - 14

Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the turning point is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 5x - 14 ← is in standard form

with a = 1 and b = 5 , then

x- coordinate of turning point = - [tex]\frac{5}{2}[/tex]

It must be -5/2 I guess

Juan pays $500 per month in rent, a semiannual car insurance premium of $800, and an annual health club membership fee of $900.

Answers

Answer:

400 is the answer

Step-by-step explanation:

900-800=100

500-100=400

pls pls pls pls help me im literally dying help its due today pls help pls im gonna die pls

Answers

Answer:

What?

Step-by-step explanation:

Help with what?

Answer:

whats the question?

Step-by-step explanation:

Compare & Contrast: What is different about complementary and supplementary angles? What is the same?​

Answers

Complementary: When two angles add up to 90 degrees

Supplementary: When two angles add up to 180 degrees

Similarities are both involve two angles, the difference is the total degrees they add up to.

You are shopping for school supplies. You want to buy 8 notebooks for $1.50 each. Show how you can use the distributive property to find the total cost of the notebooks mentally.
8x $150=8(1+ )
=8(1)+8( )
=8+ ( )
=$ ( )

Answers

Answer:

12

Step-by-step explanation:

8x1+8x0.5

8+4

12

12$ is the total cost

Is y=-x^3+2x linear or non linear

Answers

Answer:

It's non=linear

Nannamakamakakakaannanana

Rationalise I) 6/√5+√2
ii) 1/8+5√2​

Answers

Given :

6/√5+21/8+5√2

To find :-

The denominator in rationalized form .

Solution :-

Using Identity :-

a² - b² = (a+b)(a-b)

Solution 1:-

6/√5+26(√5-2)/(√5+2)(√5-2)6(√5-2)/√5²-2²6(√5-2)/5-465 - 12

Solution 2:-

1/8+5√21(8-5√2)/(8+5√2)(8-5√2)8-5√2/8²-(5√2)²8-5√2/64-508-52/14

What is the image of the point (-5, -9) after a rotation of 90° counterclockwise
about the origin?

Answers

Answer:

(9, -5)

Step-by-step explanation:

If you rotate a figure 90 degrees counterclockwise, the coordinates will go from (x, y) to (-y, x).

So, let's start out with -y. The y-value of (-5, -9) is -9, and the negative value of that is -(-9) or 9. That goes first in our point: (9, x.) Now, we just keep our x-value the way it is, -5, and put that in our y-value: (9, -5). And there's our point after a 90 degree counterclockwise rotation.

(9,-5) is write for that equation

Laura has 16 goals and 28 pls When she goes to the county fair, she needs to
have the same number of animals in each pen. Goats and pigs cannot share the same pen.
How many animals in each pen?

Answers

Step-by-step explanation: Question was made confusingly but you can put 4 animals per pen for a equal amount for each pen.

Help me with this pleaseee

Answers

Answer:

option c

Step-by-step explanation:

Volume = Length * Width * Height

this is a pretty easy problem cuz all u need to do is find which one of the options has a product of 729.

option a) 7 * 8 * 12

well 7 * 8 * 12 equals 672, so that cannot be the box

option b) 8*9*11

8*9*11 = 792. cant be the box cuz 792 does not equal 729

option c) 9*9*9

9*9*9=729

option c is the box cuz 729 = 729

Write an equation of the line (4,3) and (9,-2)

Answers

Answer:

y= -x + 7

Step-by-step explanation:

to get the equation of a line is y=mx+b

the slope, m, would be calculated (y1-y2)/(x1-x2)

thus we would substitute in (3--2)/(4-9)

which simplifies to 5/-5

or -1

now we know that m= -1

to solve for b we have to put the equation into point-slope form which is

y-y1= m(x-x1)

this would be y-3 = -(x-4)

y-3 = -x+4

y= -x+7

find th slope of the line that passes through each pair y2 of points E(4, 0), F(5, 5​

Answers

Step-by-step explanation:

the slope = (5-0)/(5-4)

= 5/1

= 5

Answer:

b

Step-by-step explanation:

hola so today i have just showed you my answer i got and it was right let me know if you got it wrong>

The graph of f(x) = (1.68)* is shifted right 3 units and stretched by a factor of 2.

Answers

Step-by-step explanation:

usyamzymryrsysurdudymesyekatekd

H free h but if I’m brjfbh sorry I need points

Which graph shows exponential growth?
5
4
3. 2
1
2
54 -3 -2 -1
1 2 3 4 5 X
-2
-3
-4
-5
ly I

Answers

Answer:

54 -3 -2 -1

Step-by-step explanation:

I hope this help!!!

need a lil help please

Answers

Answer:

B(2, 4)

Step-by-step explanation:

Given points:

A(-1, -9) and M(0.5, -2.5)

Let the coordinates of B are (x, y)

Use midpoint formula to determine the point B:

0.5 = (- 1 + x)/2 ⇒ 1 = -1 + x ⇒ x = 1 + 1 = 2-2.5 = (-9 + y)/2 ⇒ -5 = -9 + y ⇒ y = -5 + 9 = 4

Given the associated quantity demanded, Q1, and quantity supplied, Q2, which of the following describes the quantity Q2−Q1?

A.the surplus resulting from the price floor Pc
B. the shortage resulting from the price floor Pc
C.the surplus resulting from the price ceiling Pc
D. the shortage resulting from the price ceiling Pc

Answers

Answer:

1.Maximum price below the market equilibrium price

2.Producers from low market prices

3.Lead to a shortage as prices are kept from rising to their equilibrium level

4.A price ceiling of $1,000

5.The surplus resulting from the price floor Pc

Step-by-step explanation:

I just took the Price Ceilings and Floors Quick Check

Have a great day/night!

3) (2.01) Identify the domain and range. Then, determine whether the
relation is a function or not. Explain your reasoning.
Relation: (-1,0) (2, 4) (0, 3) (2, 1) (6,5)
Domain:
Range:
Is this relation a function? Why or why not?

Answers

Domain: {-1,2,0,6}
Range: {0,4,3,1,5}
The relation is not a function because the domain 2 has more than one range, 1 and 4.

simplify x ^2 ⋅ x ^−12

Answers

Answer:

x^2*x^-12= 1/x^10

Which three numbers have a least common multiple of 60?

Answers

Answer:

A is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Hi, need help on this Math question please (:

Answers

Answer:

LA hat tama search mo pa yan promise

Answer:

Evan's plant is 80 millimeters taller than Raj's plant

Step-by-step explanation:

If the plant will grow 1 centimeter every month, we can write an equation that relates the height of the plant with the number of months elapsed:

Let

H = height of the plant

M = number of months elapsed

H0 = initial height = 10cm

H (M) = (1)M + H0

H (M) = (1)M + 10

Where (1) is the constant rate of growth of 1 centimeter per month.

This is the equation of a line that intersects the H axis at H = 10.

3 3/4 ÷ 5 5/8
write in simplest form. Check by multiplying.
pls teach me how to answer it. I'll give brainliesnt if correct.​

Answers

Step-by-step explanation:

3¾ divided by 5⅝

4*3+3 = 15/4

8*5+5 = 45/8

15/4 * 8/45 =

2/3


A store owner sold 4 paint brushes for $12.00 and 8 pens for $3 20. What is the difference between the unit price of a paint brush and the unit price of a pen?

Answers

One of the units of money and the o her is p of b

N.
Kendra has a painting canvas that is 29 inches wide by 33 inches high. She painted a red rose, which covered 30% of the canvas.
What was the area of the canvas which was covered by the red rose?

Answers

Answer:

287.1 inches of the canvas.

Step-by-step explanation:

To solve this, we need to first figure out the total area of the canvas. To do that, multiply width by height.

29*33=957

Now set up your equation for solving for the area of the canvas that the rose covers.

x/957=30/100

We did it where: x is the area of the rose covers, 957 is the amount of inches that the canvas takes up, and the right side of the equation is the percent.

Now cross multiply.

100x=28,710

Now divide both sides by 100.

x=287.1

The red rose covers 287.1 inches of the canvas.

What is the domain and the range to this

Answers

Answer:

Look Down below :P

Step-by-step explanation:

If you were looking for if it even has a domain and range let's say if the point (15/4,7) should have read (15/4,17) then a plot of these points appears to show a hyperbola and the x and y (f(x)) axes look like Asymptotes. If the general function has the form f(x)=a/x, then there should be a consistent value for a which can be found be substituting the points in the equation. Take one point (17,15/4) and we get 15/4=a/17, from which a=255/4. f(x)=255     x/4. We have no negative values as examples so we cannot assume that the function is defined for negative values of x. f(x)=255 x/4 fits all the points except for (15/4,7), which is possibly mis-typed. The domain of the function is therefore all values of x>0 and the range of f(x) is f(x)>0, assuming continuity and extrapolation of the function.

If the point (15/4,7) is valid then f(x) as defined above is invalid or incomplete. f(x) may be a piece wise function where f(x)=7 if and only if x=15/4. For 0<x<15/4 and x>15/4, f(x)=255 x/4. These would be the domain for x. The range of f(x) is f(x)>0 and f(x)=7 only when x=15/4.

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