Answer:
(-3, -34)
Step-by-step explanation:
I'm assuming g(x) is supposed to by g(x) = 2x² + 12x - 16
The general form for a quadratic function is f(x) = ax² + bx + c
For our equation, a = 2, b = 12 and c = -16
The formula for the x coordinate of the vertex is
x = -b/(2a)
Plug in our values and simplify...
x = -12/(2*2) = -12/4 = -3
Plug that value into g(x) to find the y coordinate of the vertex:
g(-3) = 2(-3)² + 12(-3) - 16
g(-3) = 2(9) - 36 - 16
g(-3) = -34
