In the equation f(x)=5(x+3) 2 -10 what effect does the 5 do when compared to the parent function?

Vertical stretch by a factor of 5

Vertical compress by a factor of 5

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

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

Which list orders the quadratic functions from narrowest to widest?

y = 4x 2 y = 2x 2 - 2 y = x 2 y = 0.5 x 2

y = x 2 y = 4x 2 y = 2x 2 - 2 y = 0.5 x 2

y = 0.5 x 2 y = x 2 y = 2x 2 - 2 y = 4x 2

y = 2x 2 - 2 y = 4x 2 y = 0.5x 2 y = x 2

Transformations of Quadratic

Authored by Jennifer Tempest

Mathematics

9th Grade

CCSS covered

Used 2+ times

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

horizontal shift right 5 units

horizontal shift left 5 units

vertical shift up 5 units

vertical shift down 5 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

horizontal shift left 7 units

horizontal shift right 7 units

vertical shift up 7 units

vertical shift down 7 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the equation of the quadratic function obtained from vertically compressing the parent function by 3/5 and then shifted up 8 units?

f(x)= 3/5(x-8)²

f(x)=3/5x²+8

f(x)=x²

f(x)=3/5x²-8

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If the blue is f(x)=x^2,then the red must be

g(x)=x²-5

g(x)=x²+5

g(x)=(x-5)²

g(x)=(x+5)²

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.REI.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Compare the function y = 0.3x² to the parent function y = x²

Wider

Narrower

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Compare the function y = 5x² to the parent function y = x²

Wider

Narrower

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Match the equation to its description.

Reflected over x and stretched by 3

Stretched by 3

Reflected over x

Reflected over x and up 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

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Transformations of Quadratic

Describe the transformations of f(x) when compared to the parent function.f(x)=x2+5

Describe the transformations of f(x) when compared to the parent function.f(x)=(x+7)2

What is the equation of the quadratic function obtained from vertically compressing the parent function by 3/5 and then shifted up 8 units?

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

Compare the function y = 0.3x2 to the parent function y = x2

Compare the function y = 5x2 to the parent function y = x2

Match the equation to its description.

Match the equation to its description.

Match the equation to its description.

If red represents y = x2, which equation represents black?

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Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

If the blue is f(x)=x^2,then the red must be

Compare the function y = 0.3x² to the parent function y = x²

Compare the function y = 5x² to the parent function y = x²

If red represents y = x², which equation represents black?