How does the graph of the function (x) = x* - 3 differ from the graph of its parent function?O A. The graphs are the same.B. Subtracting 3 translates the graph down 3 units.C. The leading coefficient, 1, stretches the graph vertically.O D. Subtracting 3 translates the graph up 3 units.

Answered: How does the graph of the function f(x)…

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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How does the graph of the function (x) = x* - 3 differ from the graph of its parent function?
O A. The graphs are the same.
B. Subtracting 3 translates the graph down 3 units.
C. The leading coefficient, 1, stretches the graph vertically.
O D. Subtracting 3 translates the graph up 3 units.

Expert Solution

Step 1

Given, f(x) = x⁴-3

If a constant is subtracted from a function, the graph of the resulting function is the graph of the parent function shifted down by the constant value subtracted.

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