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Answer:
(- 2, - 4 )
Step-by-step explanation:
The x- coordinate of the vertex is calculated as
x = - [tex]\frac{b}{2a}[/tex]
g(x) = x² + 4x
with a = 1, b = 4 , then
x = - [tex]\frac{4}{2}[/tex] = - 2
Substitute x = - 2 into g(x) for corresponding y- coordinate
g(- 2) = (- 2)² + 4(- 2) = 4 - 8 = - 4
vertex = (- 2, - 4 )