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

Vertical Stretch by a factor of 2

Vertical Compression by a factor of 2

Vertical translation up by 2 units.

Which of the following transformations are present (select all that apply)? -2f(2(x - 1)) + 2

reflection over horizontal axis

Describe the transformation of y = f(x) to the new function y = f(1/5x)

Horizontal stretch by a factor of 5

Horizontal shrink by a factor of 1/5

Vertical stretch be a factor of 5

Vertically shrink by a factor of 1/5

Function Notation Transformations Check Point

Authored by Justin VanDyke

Mathematics

9th Grade

CCSS covered

Used 87+ times

Function Notation Transformations Check Point

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18 questions

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MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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)

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

(-2, 5)

(-6, 5)

(-4, 3)

(-4, 7)

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$𝑦=𝑓(𝑥)+2$

$𝑦=𝑓(𝑥)−2$

$𝑦=𝑓(𝑥+2)$

$𝑦=𝑓(𝑥−2)$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$𝑦=𝑓(𝑥)+2$

$𝑦=𝑓(𝑥)−2$

$𝑦=𝑓(𝑥+2)$

$𝑦=𝑓(𝑥−2)$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$𝑦=𝑓(𝑥)+3$

$𝑦=𝑓(𝑥)−3$

$𝑦=𝑓(𝑥+3)$

$𝑦=𝑓(𝑥−3)$

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$𝑦=𝑓(𝑥)+3$

$𝑦=𝑓(𝑥)−3$

$𝑦=𝑓(𝑥+3)$

$𝑦=𝑓(𝑥−3)$

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$𝑦=𝑓(𝑥+5)+3$

$𝑦=𝑓(𝑥−5)−3$

$𝑦=𝑓(𝑥+5)−3$

$𝑦=𝑓(𝑥−5)+3$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$𝑦=𝑓(𝑥)+2$

$𝑦=𝑓(𝑥)−2$

$𝑦=𝑓(𝑥+2)$

$𝑦=𝑓(𝑥−2)$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$𝑦=𝑓(2𝑥)$

$𝑦=𝑓(1/2𝑥)$

$𝑦=2𝑓(𝑥)$

$𝑦=1/2𝑓(𝑥)$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$𝑦=𝑓(2𝑥)$

$𝑦=𝑓(1/2𝑥)$

$𝑦=2𝑓(𝑥)$

$𝑦=1/2𝑓(𝑥)$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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