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Transformations of Quadratic Functions iStart

Authored by Rachel Kutz

Mathematics

8th - 9th Grade

CCSS covered

Used 3+ times

Transformations of Quadratic Functions iStart
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6 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 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

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

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?

–f(x)

f(–x)

f–1(x)

f(2x)

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Identify the transformation from the graph of f(x) = x2 to the graph

g(x) = –(x + 5)2

shifted up five units

reflected across x-axis

shifted left five units

reflected across y-axis

shifted left 5 units

reflected across x-axis

shifted right 5 units

reflected across y-axis

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Identify the transformations.

shifted 2 to the left and vertically stretched by a factor of 3

shifted 2 to the right and vertically stretched by a factor of 3

shifted 2 to the right and vertically compressed by a factor of 3

shifted 2 down and vertically stretched by a factor of 3

5.

MULTIPLE CHOICE QUESTION

3 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

6.

MULTIPLE CHOICE QUESTION

3 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

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