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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Functions
Transformations of Graphs

Warm-Ups



1

The graph of f (x) = (-x)2 is a reflection in the x-axis of the graph of g(x) = x2.
A)TRUE
B)FALSE
2

The graph of f (x) = -2 is a reflection in the x-axis of the graph of f (x) = 2.
A)TRUE
B)FALSE
3

The graph of f (x) = x + 3 lies three units to the left of the graph of f (x) = x.
A)TRUE
B)FALSE
4

The graph of y = | x - 3 | lies three units to the left of the graph of y = | x |.
A)TRUE
B)FALSE
5

The graph of y = | x | - 3 lies three units below the graph of y = | x |.
A)TRUE
B)FALSE
6

The graph of y = -2x2 can be obtained by stretching and reflecting the graph of y = x2.
A)TRUE
B)FALSE
7

The graph of f (x) = (x - 2)2 is symmetric about the y-axis.
A)TRUE
B)FALSE
8

For each point on the graph of y = x1/2/9 there is a corresponding point on y = x1/2 that has a y-coordinate three times as large.
A)TRUE
B)FALSE
9

The graph of y = (x - 3)1/2 + 5 has the same shape as the graph of y = x1/2.
A)TRUE
B)FALSE
10

The graph of y = -(x + 2)2 - 7 can be obtained by moving y = x2 two units to the left and down seven units and then reflecting in the x-axis.
A)TRUE
B)FALSE