What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

horizontal shift left and vertical shift down

horizontal shift down and vertical shift left

horizontal shift right and vertical shift up

horizontal shift up and vertical shift right

Describe the transformation from the parent function? g(x) = 0.25(x + 9) 2 - 2

vertical compression, horizontal shift 9 left, vertical shift 2 down

vertical compression, horizontal shift 9 left, vertical shift 2 up

vertical stretch, horizontal shift 9 right, vertical shift 2 down

vertical stretch, horizontal shift 9 right, vertical shift 2 up

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

Vertical translation up by 2 units.

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

Nothing happens, it stays the same.

Vertical translation up by 2 units.

Match the equation to its description.

Reflected over x, right 2 and up 1

Reflected over x, left 2 and up 1

Reflected over x, right 2 and down 1

Reflected over x, left 2 and down 1

Which of the following describes the transformations done to the quadratic parent function of f(x) = x 2 to obtain g(x) = 2x 2 + 4 ?

Vertical Stretch by a factor of 2 and vertical shift up 4 units

Vertical Compress by a factor 2 and vertical shift up 4

Vertical Stretch by a factor of 2 and horizontal shift left 4 units

Vertical Compress by a factor of 2 and horizontal shift right 4 units

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

shifted left 5 units reflection x-axis

shifted up five units reflection in x-axis

shifted down five units reflection in x-axis

shifted right 5 units reflection x-axis

What steps transform the graph y = x 2 to y = 2(x+2) 2 - 5?

Stretch by 2, shifted 2 units left and 5 down

Compress by 2, shifted 2 units left and 5 down

Stretch by 5, shifted 5 units left and 2 down

Compress by 5, shifted 2 units left and 2 down

What steps transform the graph y = x 2 to y = -1/2(x-4) 2 + 1?

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

Compressed by 1/2, shifted 4 units right and 1 unit up

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

Stretched by 1/2, shifted 4 units right and 1 unit down

Match the equation to its description.

Reflected over x-axis and shifted down 4

Reflected over x-axis and shifted up 4

Reflected over x-axis and shifted right 4

Reflected over x-axis and shifted left 4

Transformations of Quadratic Functions

Authored by Rachel Hernandez

Mathematics

8th - 9th Grade

CCSS covered

Used 14+ times

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30 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

a vertical translation 4 units up

a vertical translation 4 units down

a horizontal translation 4 units to the left

a horizontal translation 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How did we transform from f(x) =x²tog(x) = -3x²

reflection in x-axis and vertical shift down

reflection x-axis and vertical stretch

horizontal stretch

reflection x-axis and vertical compression

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

reflection, vertical compression, horizontal right, vertical up

vertical compression, horizontal shift left, vertical shift up

reflection, horizontal shift right, vertical shift down

no changes were made to y = x²

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Match the description to its equation:
moves down 3

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

In the equation f(x)=5(x+3)²-10 what does the 5 do?

Vertical stretch by 5

Horizontal compress by 5

Reflect

Move up 5

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

left 5

right 5

up 5

down 5

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Does the graph of this equation open up or down?
f(x) = -(x + 3)² - 5

down

Tags

CCSS.HSF-IF.C.7A

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Transformations of Quadratic Functions

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

How did we transform from f(x) =x²tog(x) = -3x²

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

Match the description to its equation:
moves down 3

In the equation f(x)=5(x+3)²-10 what does the 5 do?

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

Does the graph of this equation open up or down?
f(x) = -(x + 3)² - 5

Which quadratic function is represented by the graph?

Match the description to its equation.
Stretches by a factor of 3

If the blue graph is
f(x) = x²
then the red must be...

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Transformations of Quadratic Functions

Which transformation transforms the graph of f(x) = x2 to the graph of g(x) = (x + 4)2?

How did we transform from f(x) =x2 tog(x) = -3x2

How did we transform from the parent function?g(x) = -1/5(x - 1)2 + 7

Match the description to its equation:moves down 3

In the equation f(x)=5(x+3)2-10 what does the 5 do?

What is the vertical shift of this equation?f(x) = -(x + 3)2 - 5

Does the graph of this equation open up or down? f(x) = -(x + 3)2 - 5

Which quadratic function is represented by the graph?

Match the description to its equation.Stretches by a factor of 3

If the blue graph is f(x) = x2 then the red must be...

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

How did we transform from f(x) =x²tog(x) = -3x²

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

Match the description to its equation:
moves down 3

In the equation f(x)=5(x+3)²-10 what does the 5 do?

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

Does the graph of this equation open up or down?
f(x) = -(x + 3)² - 5

Match the description to its equation.
Stretches by a factor of 3

If the blue graph is
f(x) = x²
then the red must be...