me graphs of two quadratic functions, F(x) and g(x), are shown below. g(x) f(x) ch of the following could be equations of f(x) and g(x)? O O O O CLEAR ALL F(x) = -2x², g(x) = -3x² F(x)=3x, g(x)=2x² f(x) = 2x², g(x) = 3x² f(x)=-3x², g(x) = -2x²

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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The image is a question about quadratic functions, featuring graphs and multiple-choice options.

**Question 9:**

The graphs of two quadratic functions, \( f(x) \) and \( g(x) \), are shown below.

*y-axis and x-axis are labeled. Two parabolas are drawn with their vertices at the origin (0,0). The parabola for \( f(x) \) opens downwards and is wider compared to the parabola for \( g(x) \), which also opens downwards but is narrower.*

**Multiple-choice options:**

- \( f(x) = -2x^2, \quad g(x) = -3x^2 \)
- \( f(x) = 3x^2, \quad g(x) = 2x^2 \)
- \( f(x) = 2x^2, \quad g(x) = 3x^2 \)
- \( f(x) = -3x^2, \quad g(x) = -2x^2 \)

**The task is to determine which of the given equations correspond to \( f(x) \) and \( g(x) \) based on the graph.**
Transcribed Image Text:The image is a question about quadratic functions, featuring graphs and multiple-choice options. **Question 9:** The graphs of two quadratic functions, \( f(x) \) and \( g(x) \), are shown below. *y-axis and x-axis are labeled. Two parabolas are drawn with their vertices at the origin (0,0). The parabola for \( f(x) \) opens downwards and is wider compared to the parabola for \( g(x) \), which also opens downwards but is narrower.* **Multiple-choice options:** - \( f(x) = -2x^2, \quad g(x) = -3x^2 \) - \( f(x) = 3x^2, \quad g(x) = 2x^2 \) - \( f(x) = 2x^2, \quad g(x) = 3x^2 \) - \( f(x) = -3x^2, \quad g(x) = -2x^2 \) **The task is to determine which of the given equations correspond to \( f(x) \) and \( g(x) \) based on the graph.**
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