83547
AssignmentMultiple Choice

Completing the Square

Question 83547 • *Integrated Math II Full

What is h(x) = 7 + 10x + x2 written in vertex form?

Answer
A
h(x) = (x – 25)2 – 18
B
h(x) = (x – 5)2 + 32
C
h(x) = (x + 5)2 – 18
D
h(x) = (x + 25)2 + 32

Explanation

Rewrite the expression as x² + 10x + 7. Completing the square gives x² + 10x = (x + 5)² − 25, so h(x) = (x + 5)² − 25 + 7 = (x + 5)² − 18. This is choice C: h(x) = (x + 5)² − 18.

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