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Step-by-step explanation:

y = -16 (x − 3/8)² + 49/4

Step-by-step explanation:

y = -16x² + 12x + 10

First, factor the leading coefficient from the first two terms.

y = -16 (x² − 3/4 x) + 10

Complete the square.  Take half of the b coefficient, square it, then add and subtract the result.

b = -3/4

b/2 = -3/8

(b/2)² = 9/64

y = -16 (x² − 3/4 x + 9/64 − 9/64) + 10

y = -16 (x² − 3/4 x + 9/64) + 9/4 + 10

y = -16 (x − 3/8)² + 49/4