Starting with the graph of f(z) = 8", write the formula for the function that results from (a) shifting f(z) 2 units downward. y = s– 2 (b) shifting f(z) 6 units to the left. y (z+6) (c) reflecting f(z) about the x-axis and the y-axis. y =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I am looking to solve the last part of the question in the screenshot attached that is blank.

Starting with the graph of f(z) = 8", write the formula for the function that results from
%3D
(a) shifting f(x) 2 units downward. y =
of
(b) shifting f(z) 6 units to the left. y =
8(z+6)
of
(c) reflecting f(r) about the x-axis and the y-axis. y =
Transcribed Image Text:Starting with the graph of f(z) = 8", write the formula for the function that results from %3D (a) shifting f(x) 2 units downward. y = of (b) shifting f(z) 6 units to the left. y = 8(z+6) of (c) reflecting f(r) about the x-axis and the y-axis. y =
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When the graph of the function y = f(x) is reflected about x-axis then the transformed function is: y=-f(x)

And, when the graph of the function y = f(x) is reflected about y-axis then the transformed function is: y=f(-x)

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