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Quadratic Transformations

Authored by Kim Flowers

Mathematics

7th - 12th Grade

CCSS covered

Used 349+ times

Quadratic Transformations
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18 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What steps transform the graph y = x2 to y = 2(x+2)2 - 5?

Compress by 2, shifted 2 units left and 5 down

Stretch by 5, shifted 5 units left and 2 down

Stretch by 2, shifted 2 units left and 5 down

Compress by 5, shifted 2 units left and 2 down

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What steps transform the graph y = x2 to y = -1/2(x-4)2 + 1?

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

Reflected across x-axis, 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

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What steps transform the graph y = x2 to y = x2 + 8

shifted up 8 units

shifted down 8 units

shifted left 8 units

shifted right 8 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What steps transform the graph y = x2 to y = (x - 4)2

Shifted down 4 units

Shifted left 4 units

Shifted right 4 units

Shifted up 4 units

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

a reflection across the line x = -4
a reflection across the line y = -4
a translation shifting f(x) 4 units to the left
a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Match the equation to its description.

Vertically stretched by 2 and shifted up 4

Vertically compressed by 2 and shifted up 4

Vertically stretched by 2 and shifted left 4

Vertically compressed by 2 and shifted left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Match the equation to its description.

Reflected over x-axis and shifted up 4

Reflected over x-axis and shifted down 4

Reflected over x-axis and shifted right 4

Reflected over x-axis and shifted left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

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