Functions and Transformations

Question 1

Which is the graph of y = StartFraction 2 Over x EndFraction + 2 ?

Revolt · Accepted Answer

[Image: On a coordinate plane, a curve opens up and to the...]

Question 2

⇒ 3

Revolt · Accepted Answer

165637

Question 3

What transformations are used in transforming the parent graph y = x, to obtain the graph of c (x) = StartFraction 5 Over 9 EndFraction (x minus 32) ? Check all that apply.

Revolt · Accepted Answer

horizontal translation; vertical compression

Question 4

Eileen is trying to test if the function f(x) = x2 + 2x + 5 is even, odd or neither. She produces the following work:f(– x) = (–x)2 + 2(–x) + 5 = x2 – 2x + 5What conclusion can she reach?

Revolt · Accepted Answer

f(x) is neither

Question 5

The function g(x) = 3x3 + x is an odd function. Which transformations of g(x) would result in odd functions? Check all that apply.–g(x)g(2x)g(x − 1)g(x) − 3g(–x)

Revolt · Accepted Answer

–g(x); g(2x); g(–x)

Question 6

Given f(x) = log2x, which of the functions below represents g(x) resulting from reflecting the graph of f(x) in the x-axis and shifting left by 2 units?

Revolt · Accepted Answer

g(x) = –log2(x + 2)

Question 7

Function f undergoes two transformations to become g. Express g(x) in terms of f(x).

Revolt · Accepted Answer

g(x) = – f(x – 2)

Question 8

Which describes the transformations of y = f(x) that would result in the graph of y = f(–x) – 7.

Revolt · Accepted Answer

a reflection in the y-axis followed by a translation down by 7 units

Functions and Transformations Answers

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