How is the graph of y = (x + 1)^2- 5 transformed from the graph of y=x^2?

Answers

Answer 1

[tex]\text{Hi there! :D}[/tex]

[tex]\boxed{\text{There is a horizontal shift of 1 unit left and 5 units down.}}[/tex]

[tex]\text{Recall that the transformations form of a quadratic function is:}\\\\y = \pm a(b(x-h))+k \text{ where:}\\\\a = \text{ vertical stretch/compression}\\\\b = \text{ horizontal stretch/compression}\\\\h = \text{ shift left/right}\\\\k = \text{ shift up/down}\\\\\text{Therefore, in this instance:}\\\\h = -1\\\\k = -5, \text{ so:}\\\\\text{There is a horizontal shift of 1 unit left and 5 units down.}[/tex]


Related Questions

PLEASE HELP! An angle's measure is equal to 24 less than its complement. Find the measure of the angle.

Answers

The Larger complement angle is 57 degrees and Small angle is 33 degrees.

Given about the complement angles.

Complement angles means, the two angles will add up to 90 degrees.

Then angles is x+(x-24)=90

⇒2x=90+24

⇒2x=114

⇒x=57

So, the larger angle is 57 degrees.

small angle is 90-57=33 degrees.

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a −3=( a 1 ) 5 what is the value of a?

Answers

Answer:

A=[tex]\frac{-3}{4}[/tex]

Step-by-step explanation:

a−3=a1(5)

Step 1: Simplify both sides of the equation.

a−3=a1(5)

a+−3=5a

a−3=5a

Step 2: Subtract 5a from both sides.

a−3−5a=5a−5a

−4a−3=0

Step 3: Add 3 to both sides.

−4a−3+3=0+3

−4a=3

Step 4: Divide both sides by -4.

-4a/-4 = 3/-4

Your final answer is a=-3/4

What is the constant term in the polynomial expression, and what does it represent?

Answers

Aconstant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial

x
2
+
2
x
+
3
,

x^{2}+2x+3
the 3 is a constant term.

The midpoint of AB is M(1,1). If the coordinates of A are (-2,5), what are the coordinates of B?​

Answers

Answer:

Step-by-step explanation:

(x - 2)/2 = 1

x - 2 = 2

x = 4

(y + 5)/2= 1

y + 5 = 2

y = -3

(4, -3) Coordinates of B

The coordinates of endpoint B is (4,-3).

What is the line segment?

In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.

Now it is given that,

Mid point of line segment = M(1,1) i.e. (x,y)

coordinates of A = (-2,5) i.e. (x₁ ,y₁ )

So we have,

x = 1

y = 1

x₁ = -2

y₁ = 5

Let the coordinates of the end point be B(x₂,y₂)

Since,

x = (x₁+x₂)/2

⇒ x₂ = 2x - x₁

Put the values we get,

⇒ x₂ = 2*1 - (-2)

⇒ x₂ = 2 + 2

⇒ x₂ = 4

Similarly,

y = (y₁+y₂)/2

⇒ y₂ = 2y- y₁

Put the values we get,

⇒ y₂ = 2*1- 5

⇒ y₂ = 2 - 5

⇒ y₂ = -3

Hence, the coordinates of endpoint B is (4,-3)

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solve please: 40=8d​

Answers

Step-by-step explanation:

: 40=8d

divide both sides by 8

40/8=8d/8

d=5

[tex]\textsf{Hey there!}[/tex]

[tex]\textsf{40 = 8d}[/tex]

[tex]\textsf{FIRST \& LAST step: DIVIDE by 8 on both of your sides}[/tex]

[tex]\mathsf{\dfrac{40}{8} = \dfrac{8d}{8}}[/tex]

[tex]\mathsf{CANCEL\ out: \dfrac{8}{8}\ because\ it\ gives\ you\ 1}[/tex]

[tex]\mathsf{KEEP: \dfrac{40}{8}\ because\ that\ helps\ us\ solve\ for\ \bf{d} \textsf{ \ or \ answers\ d}}[/tex]

[tex]\mathsf{\underline{\dfrac{40}{8} = 40\div8 \rightarrow 5}}[/tex]

[tex]\mathsf{Answer}[/tex]

[tex]\textsf{\bf{d = 5}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

2,6,10,.... find u16

Answers

2000 to get 50 on u to be Nansen Lakshadweep. Hand

HEY GUYS PLEASE HELP JUST LABEL THEM 1 2 3 and tell me true or false

Answers

1) true ?
2) false
3) true

6. A student driver travels at a speed of 3km/h for an hour and a half. What
distance does it travel?

Answers

Answer:

4.5 km

Step-by-step explanation:

3km times 1 = 3 and then 3km times .5 = 1.5

3+1.5= 4.5

f(x)=18x+11, find f(5)

Answers

Answer:

[tex]\boxed {\tt f(5)=101}[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)=18x+11[/tex]

and asked to find f(5). Therefore, we must substitute 5 in for each [tex]x[/tex].

[tex]f(5)=18(5)+11[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Multiply 18 and 5.

[tex]f(5)=90+11[/tex]

Add 90 and 11.

[tex]f(5)=101[/tex]

f(5) is equal to 101.

4. A train traveled 300 miles in 2.5 hours. At this rate, how far would the train travel in 9 hours?
HELP PLEASE✨❤️

Answers

Answer:

300 miles in 2.5 hours

divide 300 by 2.5

120 miles per hour

120 x 9 = 1080

Step-by-step explanation:

Two students calculated the area of a polygon in the coordinate plans using different strategies explain the two methods and which do you prefer and why

Answers

Answer:

There are following two methods.

1-By using pre programmed calculator

2-By using formoula

Step-by-step explanation:

1-The first method i suggest for the calculation of area is by using the pre programmed calculator.

Enter the vertex clockwise or anticlockwise into the calculator.

this method is very fast but there is a draw back of this method it is unable to calculate the area of self intersecting polygons. This method is most efficient for the simple polygons and we calculate area very fast.

2-To overcome the draw back of above given method i suggest the method calculate the area by using formoula

First number the vertex in clockwise or anticlckwise direction.

Than use the following formoula to calculate the area of polygon.

Area of polygon= [tex](x_{1}y_{2}-x_{2}y_{1})+(x_{2}y_{3}-x_{3}y_{2})+............+(x_{n}y_{1}-x_{1}y_{n})/2[/tex]

here, if area is negative we take mode of it

[tex]x_{n}[/tex] is the x coorinate of nth vertex.

[tex]y_{n}[/tex] is the Y coorinate of nth vertex.

This method is universal. By using this method we can calculate area of any type of the polygon.


What is an equation of the line in point-slope form?


(3.8) and (7,5)

Answers

This is one equation y-5=-3/4(x-7)

An automobile travels 471 miles in 8 hours.
183
What is the average speed of the automobile to the nearest mile per hour?

Answers

58.875/mph but rounded to the nearest mph would be 59/mph


Because if they traveled 471 miles within 8 hours you would divide. 471 divided by 8=59

Which type of letters are used to name points?​

Answers

Answer:

Points are Labeled with capital Letters, such aa P.

The midpoint of AB is M(1, -1). If the coordinates of A are (7,-4), what are the
coordinates of B?

Answers

Answer:

work is attached and shown

HURRY PLEASE !

Which of the following is 13/16 closest to ? A ; 1/2 . B ; 1 . C ; 0 .

Answers

Answer:

1

Step-by-step explanation:

Half of 16ths would be 8/16 so 13/16 is closest to 1

plz consider giving me brainliest =)

Answer:

1

Step-by-step explanation:

Its much closer to a whole number than it is to a fraction.

Evaluate -R -Y for R=-2 and Y:-7

Answers

5

Step-by-step explanation:

-2 - (-7)

you have to do the opposite of the sign and switch the last number from negative to positive.

I need help please do

Answers

Answer:

design 3

Step-by-step explanation:

The average that the car rides in design 1 is 13

Design:2 about 10.5

Design:3 14 is the average

Sorry if this is incorrect im just a nerdy 6 grader who is cool and likes to play football

On a number line, suppose point E has a coordinate of -2, and EG = 13. What are the possible coordinates of point G

Answers

Some possible coordinates for G are 11 or -15

You have $60 and your sister has $120. You are saving $7 per week and your sister is saving $5 per week. How long will it be before you and your sister have the same amount of money?

Answers

Answer:

27 weeks

Step-by-step explanation:

7.6g of sugar is needed for every cake made. How much sugar is needed for 10 cakes?

Answers

Step-by-step explanation:

just multiply 7.6g times 10

7/9 greater or less than 0.7777

Answers

We can conclude that 7/9 is equal to 0.777.

What mathematical operations are exactly?Calculating a value while utilizing operands and a math operator is known as a mathematical "operation."The supplied operands or numbers must follow specific guidelines that are associated with the symbol for the math operator.Addition, subtraction, multiplication, division, exponentiation, and modulus are all operations carried out by arithmetic operators.

So, we need to solve 7/9 to know if it is greater, less, or equal to 0.777.

7/9 = 0.7777So, 7/9 is equal to 0.777

(Refer to the image attached below for calculation)

Therefore, we can conclude that 7/9 is equal to 0.777.

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combining like terms with negative coefficients
2y-3xy+4y-5xy ?

Answers

Answer:

6y - 8xy

Step-by-step explanation:

2y-3xy+4y-5xy

Combine like terms:

(2y+4y) + (-3xy -5xy)

6y - 8xy

Find the square root 64/100

Answers

Answer: 4/5

Step by Step:

After finding the square root of 64/100, the value obtained in terms of a fraction will be 4/5.

What is a fraction?

In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.

As per the given information in the question,

The given fraction is,

The square root of 64/100

So,

√64 = 8 and,

√100 = 10

Then, the fraction will be,

= 8/10 = 4/5

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Abox is 30 inches long wide, 16 inches long, and 14 inches high. To the nearest cubic inch,
what is the volume of the box?

Answers

Answer:

6720[tex]in^{3}[/tex]

Step-by-step explanation:

length x width x height

30 in x 16 in x 14 in = 6720[tex]in^{3}[/tex]

Kristin and her family left their campsite to take a bike ride. They biked 5 miles west and then 12 miles north. How far are they from their campsite? Round to the nearest 10th if necessary.

Answers

Answer:

they are 17 miles away from their campsite.

Step-by-step explanation:

we get the answer by adding the miles traveled north to the miles traveled west, and we get the total number of miles they traveled away from their campsite.

5 + 12 = 17

what is the median of a triangle ?
pls i need the answer quick

Answers

Answer:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Step-by-step explanation:

Answer:

line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Step-by-step explanation:

Choose the correct translation of the following time. 3:10 Son las trece y diez. Es las tres y diez. Son las tres diez. Son las tres y diez.

Answers

Answer it’s
Son las tres y diez

Answer:

Son las tres y diez

Step-by-step explanation:

took the test

The sum of a number and three is forty-one.Find the number

Answers

Answer:

Step-by-step explanation:

x + 3 = 41

x = 38

need help asap !!!!!!!!

Answers

Answer:with what I could help

Step-by-step explanation:

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