10
AssignmentMultiple Choice

Modeling with Quadratic Equations

Question 10 • FL-1200330-Algebra 2 CR

Choose the equation that shows a step in the process of completing the square on the given quadratic.y = x2 + 8x – 3

Answer
A
y = x2 + 8x + 8 – 3 – 8
B
y = x2 + 8x + 8 – 3 + 8
C
y = x2 + 8x + 16 – 3 – 16
D
y = x2 + 8x + 16 – 3 + 16

Explanation

To complete the square for x² + 8x, take half of 8 and square it: (8 ÷ 2)² = 16. Add 16 and subtract 16 so the expression’s value stays the same: y = x² + 8x + 16 − 3 − 16. This is choice C.

AI-written and checked against the verified answer.

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