1. (3 points) Which of the following transformations are applied to the function |x| to obtain the graph of f(x) = -x-41-3? Clearly circle the ones that are applied (You can circle multiple ones.) a. Shift right 4 units b. Shift left 4 units c. Shift down 3 units d. Shift up 3 units e. Reflect about x-axis f. Reflect about y- axis Let f(x) = 4x + 3 and g(x) = x³ - 5. Find the following. Simplify the indicated ones. a. (2 points) fog(x) (simplify your answer) b. (2 points) gof(x) (no need to simplify) s c. (2 points) fof(x) (simplify your answer) d. (2 points) gog(x) (no need to simplify)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.8: Absolute Value Functions
Problem 61PFA
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1. (3 points) Which of the following transformations are applied to the function |x| to obtain the
graph of f(x) = -x-41-3? Clearly circle the ones that are applied (You can circle multiple
ones.)
a. Shift right 4 units
b. Shift left 4 units
c. Shift down 3 units
d.
Shift up 3 units
e.
Reflect about x-axis
f. Reflect about y- axis
Let f(x) = 4x + 3 and g(x) = x³ - 5. Find the following. Simplify the indicated ones.
a. (2 points) fog(x) (simplify your answer)
b. (2 points) gof(x) (no need to simplify)
s
c. (2 points) fof(x) (simplify your answer)
d. (2 points) gog(x) (no need to simplify)
Transcribed Image Text:1. (3 points) Which of the following transformations are applied to the function |x| to obtain the graph of f(x) = -x-41-3? Clearly circle the ones that are applied (You can circle multiple ones.) a. Shift right 4 units b. Shift left 4 units c. Shift down 3 units d. Shift up 3 units e. Reflect about x-axis f. Reflect about y- axis Let f(x) = 4x + 3 and g(x) = x³ - 5. Find the following. Simplify the indicated ones. a. (2 points) fog(x) (simplify your answer) b. (2 points) gof(x) (no need to simplify) s c. (2 points) fof(x) (simplify your answer) d. (2 points) gog(x) (no need to simplify)
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