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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)

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)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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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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