Describe the parent graph transformation

compression by 1/2, left 1, down 3

stretch by 1/2, right 1, down 3

compression by 1/2, right 1, down 3

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

Vertical translation up by 2 units.

Identify the transformations to the step function:

x-axis reflection; stretch of 2; right 2; down 2

x-axis reflection; stretch of 2; left 2; down 2

x-axis reflection; shrink of 2; left 2; up 2

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

y = − ∣ x − 15 ∣ − 3 y=-\left|x-15\right|-3 y = − ∣ x − 1 5 ∣ − 3

y = − ∣ x + 15 ∣ − 3 y=-\left|x+15\right|-3 y = − ∣ x + 1 5 ∣ − 3

y = 1 2 ∣ x + 3 ∣ − 15 y=\frac{1}{2}\left|x+3\right|-15 y = 2 1 ∣ x + 3 ∣ − 1 5

y = 1 2 ∣ x − 3 ∣ − 15 y=\frac{1}{2}\left|x-3\right|-15 y = 2 1 ∣ x − 3 ∣ − 1 5

y = ∣ − x − 15 ∣ − 3 y=\left|-x-15\right|-3 y = ∣ − x − 1 5 ∣ − 3

Transformations of Parent Functions

Authored by Jessica Onda

Mathematics

9th - 12th Grade

CCSS covered

Used 459+ times

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20 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation below is a quadratic function translated up 5 units?

y = x² + 5

y = (x + 5)²

y = 5x²

y = -x² - 5

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Which equation below is a quadratic function translated left 4 units?

y = x² + 4

y = (x + 4)²

y = (x - 4)²

y = 4x²

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

y = x² + 2

y = -x² + 2

y = x² - 2

y = -(x + 2)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation

left 2 up 5

right 2 up 5

left 2 down 5

right 2 down 5

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 12 pts

Tell how the function transformed from y =|x|
y = -2|x|

Translated left 2 units

Reflected over x-axis

Stretched vertically and reflected over x-axis

Compressed vertically and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

MULTIPLE CHOICE QUESTION

2 mins • 12 pts

y = Ix + 2I - 1

y = -Ix + 2I - 1

y = -Ix - 2I - 1

y = -Ix + 1I - 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

30 sec • 12 pts

What are the transformations to the graph compared to the parent function?

Shifted right 2, shifted up 3, and reflected over the y-axis

Shifted left 2, shifted up 3, and reflected over the y-axis

Shifted left 2, shifted up 3, and reflected over the x-axis

Shifted right 2, shifted up 3, and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

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Transformations of Parent Functions

Which equation below is a quadratic function translated up 5 units?

Which equation below is a quadratic function translated left 4 units?

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

Describe the transformation

Tell how the function transformed from y =|x|y = -2|x|

What are the transformations to the graph compared to the parent function?

Describe the transformations from the original parent function f(x) = x2.g(x) = 5x2 + 2

Describe the parent graph transformation

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

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Popular Resources on Wayground

Discover more resources for Mathematics

Tell how the function transformed from y =|x|
y = -2|x|

Describe the transformations from the original parent function f(x) = x².
g(x) = 5x² + 2