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The function g is related to one of the parent functions. g(x) = -4x² + 1 (a) Identify the parent function f. f(x) = -4x² X (b) Describe the sequence of transformations from f to g. (Select all that apply.) reflection in the x-axis vertical shift of 4 units upward horizontal shift of 1 unit to the right vertical stretch vertical shrink vertical shift of 1 unit upward (c) Sketch the graph of g. 10 10 5 y

The function g is related to one of the parent functions. g(x) = -4x² + 1 (a) Identify the parent function f. f(x) = -4x² X (b) Describe the sequence of transformations from f to g. (Select all that apply.) reflection in the x-axis vertical shift of 4 units upward horizontal shift of 1 unit to the right vertical stretch vertical shrink vertical shift of 1 unit upward (c) Sketch the graph of g. 10 10 5 y

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 14E
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The function g is related to one of the parent functions. g(x) = -4x² + 1 (a) Identify the parent function f. f(x) = -4x² x (b) Describe the sequence of transformations from f to g. (Select all that apply.) reflection in the x-axis vertical shift of 4 units upward horizontal shift of 1 unit to the right vertical stretch vertical shrink vertical shift of 1 unit upward (c) Sketch the graph of g. 10 X y 10 5 X
Transcribed Image Text:The function g is related to one of the parent functions. g(x) = -4x² + 1 (a) Identify the parent function f. f(x) = -4x² x (b) Describe the sequence of transformations from f to g. (Select all that apply.) reflection in the x-axis vertical shift of 4 units upward horizontal shift of 1 unit to the right vertical stretch vertical shrink vertical shift of 1 unit upward (c) Sketch the graph of g. 10 X y 10 5 X
-10 = -5 -10 10 -5 -10 5 (d) Use function notation to write g in terms of f. g(x) ])f(x) 10 X - 10 -5 10 10 5 -5 -10 y 5 10
Transcribed Image Text:-10 = -5 -10 10 -5 -10 5 (d) Use function notation to write g in terms of f. g(x) ])f(x) 10 X - 10 -5 10 10 5 -5 -10 y 5 10
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