Image Function Transformations: Function to Imag Parent Function • Vertical stretch by • Reflection in the y • Horizontal stretch (a) 1 y = • Vertical translation unit • Horizontal phase s units

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Question
1. Complete the following table. (y= a f[k(x-d)] +c)
Domain and Range
of the Image
Function
Mapping from Parent
Function to Image
Parent
Image Function
Transformations from Parent
Function
Function to Image Function
Function
(a)
Vertical stretch by a factor of 3
1
ソ=ー
Reflection in the y axis
Horizontal stretch by a factor of
Vertical translation down by 1
unit
Horizontal phase shift left by 4
units
(b)
a =
y = -2|- (x+1)| – 5
k=
d=
C=
2. Graph each parent and image function, given in Question 1, on the following graphs.
Transcribed Image Text:1. Complete the following table. (y= a f[k(x-d)] +c) Domain and Range of the Image Function Mapping from Parent Function to Image Parent Image Function Transformations from Parent Function Function to Image Function Function (a) Vertical stretch by a factor of 3 1 ソ=ー Reflection in the y axis Horizontal stretch by a factor of Vertical translation down by 1 unit Horizontal phase shift left by 4 units (b) a = y = -2|- (x+1)| – 5 k= d= C= 2. Graph each parent and image function, given in Question 1, on the following graphs.
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