Select the answer that best completes the given statement. The graph of f(x) = -x² rises to the left and falls to the right. rises to the left and rises to the right. falls to the left and falls to the right. falls to the left and rises to the right

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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**Question 7, 3.2.CV-7**

**Select the answer that best completes the given statement.**

The graph of f(x) = -x²

**Options:**

1. rises to the left and falls to the right.
2. rises to the left and rises to the right.
3. falls to the left and falls to the right.
4. falls to the left and rises to the right.

In this context, the function f(x) = -x² represents a downward-opening parabola. This means that as the x-values extend to both the left and right, the parabola falls, so the correct description of the graph is: "falls to the left and falls to the right."
Transcribed Image Text:**Question 7, 3.2.CV-7** **Select the answer that best completes the given statement.** The graph of f(x) = -x² **Options:** 1. rises to the left and falls to the right. 2. rises to the left and rises to the right. 3. falls to the left and falls to the right. 4. falls to the left and rises to the right. In this context, the function f(x) = -x² represents a downward-opening parabola. This means that as the x-values extend to both the left and right, the parabola falls, so the correct description of the graph is: "falls to the left and falls to the right."
Expert Solution
Step 1

As we know that;

When the graph of the function y=fx is reflected about the x-axis then the transformed function is: y=-fx

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