Identify the transformation from the graph of f(x)=x 2 to the graph g(x)= -(x+5) 2

reflection in x-axis shifted left 5 units

reflection in x-axis shifted up five units

reflection in x-axis shifted down five units

reflection in x-axis shifted right 5 units

Describe the transformations that maps y = g(x) to y = - g(x + 6) - 10

Reflect over x-axis Shifted down 10 units Shifted left 6 units

Reflect over y-axis Shifted down 10 units Shifted left 6 units

Reflect over x-axis Shifted up 10 units Shifted left 6 units

Reflect over y-axis Shifted up 10 units Shifted right 6 units

Describe the transformation of y = f(x) to the new function y = f(1/5x)

Horizontal stretch by a factor of 5

Horizontal compression by a factor of 1/5

Vertical stretch be a factor of 5

Vertically compression by a factor of 1/5

If the yellow curve has equation f(x)=x 2 ,

Then the blue curve is f(x) = (x+c) 2

Then the blue curve is f(x) = x 2 - c

Then the blue curve is f(x) = (x-c) 2

Then the blue curve is f(x) = x 2 + c

Identify the transformations.

horizontal shift to the right 2 and vertical stretch by a factor of 3

horizontal shift to the left 2 and vertical stretch by a factor of 3

horizontal shift to the right 2 and vertical shrink by a factor of 3

horizontal shift to the left 2 and vertical shrink by a factor of 3

Describe the transformations that maps y = g(x) to y = - g(x + 6) - 10

Reflect over x-axis Shifted down 10 units Shifted left 6 units

Reflect over y-axis Shifted down 10 units Shifted left 6 units

Reflect over x-axis Shifted up 10 units Shifted left 6 units

Reflect over y-axis Shifted up 10 units Shifted right 6 units

Describe the transformation of the equation below from the absolute value parent function y = − 2 ∣ x − 3 ∣ + 3 y=-2\left|x-3\right|+3 y = − 2 ∣ x − 3 ∣ + 3

reflected over x axis, stretched by 2, right 3, up 3

reflected over x axis, stretched by 2, left 3 up 3.

reflected over x axis, shrunk by 2, right 3, up 3

reflected over the x axis, shrunk by 2, left 3, up 3

Write the equation for a graph that is vertically compressed by a factor of 2 5 \frac{2}{5} 5 2 and shifted right 6.

y = 2 5 ∣ x − 6 ∣ y=\frac{2}{5}\left|x-6\right| y = 5 2 ∣ x − 6 ∣

y = 6 ∣ x ∣ − 2 5 y=6\left|x\right|-\frac{2}{5} y = 6 ∣ x ∣ − 5 2

y = 2 5 ∣ x ∣ + 6 y=\frac{2}{5}\left|x\right|+\ 6 y = 5 2 ∣ x ∣ + 6

y = 2 5 ∣ x + 6 ∣ y=\frac{2}{5}\left|x+6\right| y = 5 2 ∣ x + 6 ∣

Transformations of Functions

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.B.3, HSF.IF.C.7, HSA.REI.D.10

+9

Standards-aligned

Hang (2612)

Used 20+ times

FREE Resource

33 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the transformations of this functions compared to the parent function y = √(x)?

Shifted right 5, shifted down 2, and reflected over the x-axis

Reflected over the x-axis, vertical stretch by a factor of 2, and shifted right 5

Reflected over the x-axis, vertical stretch by a factor of 1/2, and shifted left 5

Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the transformations to the graph compared to the parent function y=√(x)?

Reflected over the y-axis, shifted right 2 units and shifted up 3 units

Reflected over the y-axis, shifted left 2 units, and shifted up 3 units

Reflected over the x-axis,shifted left 2 units, and shifted up 3 units

Reflected over the x-axis, shifted right 2 units, and shifted up 3 units

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation of y = f(x) for the new function
y = f(x) - 5

The graph of y = f(x) was shifted to the right 5 units.

The graph of y = f(x) was shifted to the left 5 units.

The graph of y = f(x) was shifted up 5 units.

The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation describes the transformation of shifting f(x)=x² two units right?

y = x² + 2

y = x² - 2

y = (x + 2)²

y = (x - 2)²

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the transformations?
y=3(x-4)²?

vertical stretch by a factor of 3, horizontal shift right 4

vertical stretch by a factor of 3, horizontal shift left 4

vertical stretch by a factor of 1/3, horizontal shift right 4

vertical shift up 3, horizontal shift right 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation of y = f(x) for the new function
f(x) = ⅔(x - 7)²

Vertical compression by a factor of ⅔

Shift right 7 units

Vertical compression by a factor of ⅔

Shift left 7 units

Vertical expansion by a factor of ⅔

Shift right 7 units

Vertical expansion by a factor of ⅔

Shift left 7 units

Tags

CCSS.HSF.BF.B.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

Left 3 and up 5

Right 3 and down 5

Left 3 and down 5

Right 3 and up 5

Tags

CCSS.HSF.BF.B.3

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Transformations of Functions

33 questions

What are the transformations of this functions compared to the parent function y = √(x)?

What are the transformations to the graph compared to the parent function y=√(x)?

Describe the transformation of y = f(x) for the new function
y = f(x) - 5

Which equation describes the transformation of shifting f(x)=x² two units right?

What are the transformations?
y=3(x-4)²?

Describe the transformation of y = f(x) for the new function
f(x) = ⅔(x - 7)²

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²

Create a free account and access millions of resources

Similar Resources on Wayground

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Discover more resources for Mathematics

Transformations of Functions

33 questions

What are the transformations of this functions compared to the parent function y = √(x)?

What are the transformations to the graph compared to the parent function y=√(x)?

Describe the transformation of y = f(x) for the new function y = f(x) - 5

Which equation describes the transformation of shifting f(x)=x2 two units right?

What are the transformations?y=3(x-4)2?

Describe the transformation of y = f(x) for the new functionf(x) = ⅔(x - 7)2

Given f(x) = (x-3)2 + 5. What transformations took place from the original function f(x)?

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

The blue function is the original function f(x) = x3. Which of the following is the correct equation for the red function, g(x)?

Identify the transformation from the graph of f(x)=x2 to the graph g(x)= -(x+5)2

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Describe the transformation of y = f(x) for the new function
y = f(x) - 5

Which equation describes the transformation of shifting f(x)=x² two units right?

What are the transformations?
y=3(x-4)²?

Describe the transformation of y = f(x) for the new function
f(x) = ⅔(x - 7)²

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²