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Consider the graph of the function s(x) = x² + 6x + 9. %3D Part A: The function r(x) is defined as r(x) = k · s(x), where k is a constant. Which statements about the graphs of s(x) and r(x) are true? O When k < 0, the vertex of the graph of r(x) is a minimum. O When k < 0, the vertex of the graph of r(x) is a maximum. O When k > 1, the graph of r(x) is a vertical stretch of the graph of s(x). O When k > 1, the graph of r(x) is a vertical compression of the graph of s(x). O When 0 < k < 1, the graph of r(x) is a vertical stretch of the graph of s(x). O When 0 < k < 1, the graph of r(x) is a vertical compression of the graph of s(x).

Consider the graph of the function s(x) = x² + 6x + 9. %3D Part A: The function r(x) is defined as r(x) = k · s(x), where k is a constant. Which statements about the graphs of s(x) and r(x) are true? O When k < 0, the vertex of the graph of r(x) is a minimum. O When k < 0, the vertex of the graph of r(x) is a maximum. O When k > 1, the graph of r(x) is a vertical stretch of the graph of s(x). O When k > 1, the graph of r(x) is a vertical compression of the graph of s(x). O When 0 < k < 1, the graph of r(x) is a vertical stretch of the graph of s(x). O When 0 < k < 1, the graph of r(x) is a vertical compression of the graph of s(x).

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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Consider the graph of the function s(x) = x² + 6x + 9. %3D Part A: The function r(x) is defined as r(x) = k · s(x), where k is a constant. Which statements about the graphs of s(x) and r(x) are true? O When k < 0, the vertex of the graph of r(x) is a minimum. O When k < 0, the vertex of the graph of r(x) is a maximum. O When k > 1, the graph of r(x) is a vertical stretch of the graph of s(x). O When k > 1, the graph of r(x) is a vertical compression of the graph of s(x). O When 0 < k < 1, the graph of r(x) is a vertical stretch of the graph of s(x). O When 0 < k < 1, the graph of r(x) is a vertical compression of the graph of s(x).
Transcribed Image Text:Consider the graph of the function s(x) = x² + 6x + 9. %3D Part A: The function r(x) is defined as r(x) = k · s(x), where k is a constant. Which statements about the graphs of s(x) and r(x) are true? O When k < 0, the vertex of the graph of r(x) is a minimum. O When k < 0, the vertex of the graph of r(x) is a maximum. O When k > 1, the graph of r(x) is a vertical stretch of the graph of s(x). O When k > 1, the graph of r(x) is a vertical compression of the graph of s(x). O When 0 < k < 1, the graph of r(x) is a vertical stretch of the graph of s(x). O When 0 < k < 1, the graph of r(x) is a vertical compression of the graph of s(x).
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