7
QuizMultiple Choice

Quadratic Equations and their Related Functions

Question 7 • 26MATH_Recovery_Alg1B22

Solve 0 = 5x2 – 1.5x – 0.5 by using the graphing calculator to graph the related function. What are the solutions to the equation?

Answer
A
–0.5 and 0.2
B
–0.2 and 0.5
C
–0.5 and 0.5
D
–0.2 and –0.5

Explanation

Graph the related function y = 5x² − 1.5x − 0.5. Its x-intercepts are where y = 0, so they give the solutions to the equation. The graph crosses the x-axis at x = −0.2 and x = 0.5, matching choice B.

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