Question

What value of b completes f(x)=2x^2+bx+74 If the vertex is (-6,2)

Answer 1

The value of b will be completed when b = 24

Explanation:

f(x) can also be determined as y.

(-6, 2)

y = 2x²+bx+74

Plug it in.

2 = 2(-6) ² + b (-6) + 74

2 = 2(36) - 6b + 74

2 = 72 - 6b + 74

2 + 6b = 72 + 74

6b = 70 + 74

6b = 144

b = 24