Advanced Math practice question

Answer: A. 5

The graph meets the x-axis where y = 0: (x − 5)² = 0, so x − 5 = 0 and x = 5. Because the factor is squared, that's the only solution — the parabola just touches the axis there.

Why the other answers are wrong

B. −5

(x − 5)² is zero when x = 5, not −5. Substituting −5 gives (−10)² = 100.

C. 25

25 is 5², but the question asks for the x-value that makes y zero, and that's 5 itself.

D. 0

At x = 0, y = (−5)² = 25, not 0. The graph crosses the y-axis there, not the x-axis.

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