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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Question
Sketch the graph of f(x) = -(x-3)2 + 4 using standard transformation techniques.
Expert Solution
Step 1
Suppose the basic function is
Now,
The graph is
Step 2
Now,
Reflect the graph of y over the x-axis.
The graph formed is
Now,
Translate the graph horizontally right by 3 units.
The function graph formed is
Now,
Shift the graph vertically up by 4 units.
The function graph formed is
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