The graph of the function f(x) is given. (a) give the graph of f(-x). Clearly identify the new location of the three points that were on the original graph. (the two blue circles and the max (cusp). b) from the result you obtained in the previous part, give the graph of f(-x) -3. Identify the new location of the 3 points you tracked from the through the previous part. ... y = {(*») 2-

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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part a and b please

The graph of the function \( f(x) \) is given.

(a) Give the graph of \( f(-x) \). Clearly identify the new location of the three points that were on the original graph (the two blue circles and the max (cusp)).

(b) From the result you obtained in the previous part, give the graph of \( f(-x) - 3 \). Identify the new location of the 3 points you tracked from the previous part.

**Graph Explanation:**

The graph depicts a piecewise linear function \( y = f(x) \) with a cusp at the origin. It starts at point (-3, 0), moves up to point (0, 3) which is the cusp or the maximum, and then back down to point (3, 0). It forms an angled triangle-like shape symmetric around the y-axis.
Transcribed Image Text:The graph of the function \( f(x) \) is given. (a) Give the graph of \( f(-x) \). Clearly identify the new location of the three points that were on the original graph (the two blue circles and the max (cusp)). (b) From the result you obtained in the previous part, give the graph of \( f(-x) - 3 \). Identify the new location of the 3 points you tracked from the previous part. **Graph Explanation:** The graph depicts a piecewise linear function \( y = f(x) \) with a cusp at the origin. It starts at point (-3, 0), moves up to point (0, 3) which is the cusp or the maximum, and then back down to point (3, 0). It forms an angled triangle-like shape symmetric around the y-axis.
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