The functiong is related to one of the parent functions described in an earller section. g(x) = -x3 -5 (a) Identify the parent function f. (x) = (b) Describe the sequence of transformations from f to g. (Select all tiñat apply.) O horizontal shift of 5 units right horizontal shift of 5 units left vertical shrink O vertical shift of 5 units downward O reflection in the x-axis

How can you determine if a relation is a one-to-one function?

Functions in Words Express the function (or rule) in words. f(x)=2x+3

Classify the function as being even, odd, or neither.

The function g is related to one of the parent functions described in an earlier section. g(x) = -3|x + 1| – 4 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) O vertical stretch O vertical shift of 4 units downward O vertical shrink O horizontal shift of 1 unit to the left O reflection in the x-axis (c) Sketch the graph of g. y 10 10 -10 -5 5 10 -10 -5 -5 -10 -10 y y 10 10 -10 -5 10 -10 5 (d) Use function notation to write g in terms of f. g(x) = -3

The function g is related to one of the parent functions described in an earlier section. g(x) = 3|x – 1| + 2 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) O horizontal shift of 1 unit to the right O vertical stretch O reflection in the x-axis vertical shift of 2 units upward O horizontal shift of 1 unit to the left (c) Sketch the graph of g. y 10 10 5 5 - 10 -5 5 10 - 10 -5 10 -5 -10 -10 y y 10 10 5 - 10 -5 10 -10 -5 10 -5 -5 - 10 -10 (d) Use function notation to write g in terms of f. g(x) = + 3f Need Help? Read It

The function g is related to one of the parent functions described in an earlier section. g(x) = x2 - 4 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) O vertical shrink O horizontal shift of 4 units to the left reflection in the x-axis vertical shift of 4 units upward vertical shift of 4 units downward (c) Sketch the graph of g. y y 2d 20- 10 10 - 20 - 10 10 20 - 20 - 10 10 20 -10 -10 -20- - 20 y y 20- 20 10 10 X - 20 - 10 10 20 - 20 - 10 10 20 -10 -20 (d) Use function notation to write g in terms of f. (x)5

The graph of the function f(x)=1x−3+14 is a transformation of the graph of the function g(x)=1x by A vertical shift (up, down,left or right) of ? units A horizonal shift (up, down,left or right) of ? units

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