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The graph of f (x) and g (x) are shown below. The graph of g (x)is the reflection of the graph of f (x) across the x-axis. f(x) 9(x) If f (x) = 3(1), what is the equation of g (x)? O g(x) = 3(2) O g(x) = 3(-) — 6 O g(x) = -3(-)* O g(x) = -3()* - 6 4

The graph of f (x) and g (x) are shown below. The graph of g (x)is the reflection of the graph of f (x) across the x-axis. f(x) 9(x) If f (x) = 3(1), what is the equation of g (x)? O g(x) = 3(2) O g(x) = 3(-) — 6 O g(x) = -3(-)* O g(x) = -3()* - 6 4

Algebra and Trigonometry (6th Edition)
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 graph of \( f(x) \) and \( g(x) \) are shown below. The graph of \( g(x) \) is the reflection of the graph of \( f(x) \) across the x-axis. The accompanying graph displays two curves, each belonging to a different function. The curve for \( f(x) \) is primarily located in the upper half of the coordinate system, while \( g(x) \), being a reflection across the x-axis, appears in the lower half. The graph has the following characteristics: - The y-axis is represented vertically, and the x-axis is horizontally. - The point of reflection is at the origin labeled \( O \). - The curve for \( f(x) \) is upwards, and \( g(x) \) is downwards, mirroring \( f(x) \). If \( f(x) = 3 \left(\frac{1}{2}\right)^x \), what is the equation of \( g(x) \) ? Options for \( g(x) \): - \( g(x) = -3(2)^x \) - \( g(x) = 3\left(\frac{1}{2}\right)^x - 6 \) - \( g(x) = -3\left(\frac{1}{2}\right)^x \) - \( g(x) = -3\left(\frac{1}{2}\right)^x - 6 \) - \( g(x) = -3(2)^x \)
Transcribed Image Text:The graph of \( f(x) \) and \( g(x) \) are shown below. The graph of \( g(x) \) is the reflection of the graph of \( f(x) \) across the x-axis. The accompanying graph displays two curves, each belonging to a different function. The curve for \( f(x) \) is primarily located in the upper half of the coordinate system, while \( g(x) \), being a reflection across the x-axis, appears in the lower half. The graph has the following characteristics: - The y-axis is represented vertically, and the x-axis is horizontally. - The point of reflection is at the origin labeled \( O \). - The curve for \( f(x) \) is upwards, and \( g(x) \) is downwards, mirroring \( f(x) \). If \( f(x) = 3 \left(\frac{1}{2}\right)^x \), what is the equation of \( g(x) \) ? Options for \( g(x) \): - \( g(x) = -3(2)^x \) - \( g(x) = 3\left(\frac{1}{2}\right)^x - 6 \) - \( g(x) = -3\left(\frac{1}{2}\right)^x \) - \( g(x) = -3\left(\frac{1}{2}\right)^x - 6 \) - \( g(x) = -3(2)^x \)
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