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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
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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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