Question

G(x) = -x2 + 12x - 32

In vertex form

Answer 1

Answer: g(x) = -(x - 6)² + 4

Explanation:

g(x) = -x² + 12x - 32

g(x) = -(x² - 12x) - 32

g(x) = -(x² - 2 × x × 6 + 6² - 6²) - 32

g(x) = -[ (x - 6)² - 36 ] - 32

g(x) = -(x - 6)² + 36 - 32

g(x) = -(x - 6)² + 4

Here, (6,4) is vertex.