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Quadratic Transformations

Authored by Courtney KIMBROUGH

Mathematics

9th Grade

CCSS covered

Quadratic Transformations
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13 questions

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1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the vertex form of a quadratic function?

f(x) = 2a(x-h)2 + k

f(x) = a(x-h)2 + k

f(x) = (x+h)2 + k

f(x) = a(x-h) - k

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.A.1

CCSS.HSF.IF.C.8

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Identify the vertex of f(x) = -2(x+1)2 + 3

(h,k)

(3, 1)

(-1,-3)

(-1,3)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

3.

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

4.

MULTIPLE CHOICE QUESTION

45 sec • 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

5.

MULTIPLE CHOICE QUESTION

45 sec • 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

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the vertex form f(x) = a(x - h)² + k , what does the 'a' value do?

Shifts the function left or right

Changing 'a' value has no affect on the parent function

Vertical stretch or compression

Shifts the function up or down

Tags

CCSS.HSF.BF.B.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given f(x) = ax² , if 0 < a < 1 , the graph will transform by

becoming wider or vertically compressed

becoming narrower or vertically stretched

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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