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2. Describe what happens to the equation of a function if you make each change to its graph. a) Reflect the graph in the x-axis b) Reflect the graph in the y-axis -> c) Reflect the graph in the line y = x

2. Describe what happens to the equation of a function if you make each change to its graph. a) Reflect the graph in the x-axis b) Reflect the graph in the y-axis -> c) Reflect the graph in the line y = x

Calculus: Early Transcendentals
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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Rev. 2019 Lesson 3 - Reflecting Graphs of Functions 1. Describe what happens to the graph of the function if you make each change to its equation. a) Replace x with-x the retlection in the y- a xiS b) Replace y with-y the retlection in the •Qxi s c) Swap the x and y variables the setlection in 2. Describe what happens to the equation of a function if you make each change to its graph. a) Reflect the graph in the x-axis b) Reflect the graph in the y-axis -) c) Reflect the graph in the line y = x 3. Define the term Invariant Point. Inuarient point is detined as a point which does not change at ter undergoing a trans torm ation. 4. For each of the following transformations, where would you find the invariant points? a) y = f(-x)
Transcribed Image Text:Rev. 2019 Lesson 3 - Reflecting Graphs of Functions 1. Describe what happens to the graph of the function if you make each change to its equation. a) Replace x with-x the retlection in the y- a xiS b) Replace y with-y the retlection in the •Qxi s c) Swap the x and y variables the setlection in 2. Describe what happens to the equation of a function if you make each change to its graph. a) Reflect the graph in the x-axis b) Reflect the graph in the y-axis -) c) Reflect the graph in the line y = x 3. Define the term Invariant Point. Inuarient point is detined as a point which does not change at ter undergoing a trans torm ation. 4. For each of the following transformations, where would you find the invariant points? a) y = f(-x)
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