83589
AssignmentMultiple Choice

Quadratic Equations and their Related Functions

Question 83589 • NY-Algebra I Term 2 Hillcrest

Solve 0 = (x – 4)2 – 1 by graphing the related function.What are the solutions to the equation?

Answer
A
–1 and 8
B
1 and 8
C
2 and 3
D
3 and 5

Explanation

Graph the related function y = (x − 4)² − 1. Its x-intercepts occur when y = 0, so (x − 4)² = 1, giving x − 4 = −1 or 1. Thus the solutions are x = 3 and x = 5, which is choice D.

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