One of the functions below matches this graph and the other two DO NOT. (I) t(x) = 0.5(x − 0.5)(x + 2)(x + 3) (II) s(x) = −0.75(x + 0.5)(x − 2)(x − 3) (III) m(x) = −0.2(x + 1)(x − 4)^2 (x − 6) (a) Choose the function that could match the graph and explain why. (b) Use this function to label the x-intercepts, y-intercepts and scale on the graph. (c) Choose one of the functions that COULD NOT match the graph and explain why NOT.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 49PFA
Question

One of the functions below matches this graph and the other two DO NOT.

(I) t(x) = 0.5(x − 0.5)(x + 2)(x + 3)

(II) s(x) = −0.75(x + 0.5)(x − 2)(x − 3)

(III) m(x) = −0.2(x + 1)(x − 4)^2 (x − 6)

(a) Choose the function that could match the graph and explain why.

(b) Use this function to label the x-intercepts, y-intercepts and scale on the graph.

(c) Choose one of the functions that COULD NOT match the graph and explain why NOT.

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