Question

Find the vertex of
G(x)=x^2+4 x

Answer 1

(- 2, - 4 )

Explanation:

The x- coordinate of the vertex is calculated as

x = -
`(b)/(2a)`

g(x) = x² + 4x

with a = 1, b = 4 , then

x = -
`(4)/(2)` = - 2

Substitute x = - 2 into g(x) for corresponding y- coordinate

g(- 2) = (- 2)² + 4(- 2) = 4 - 8 = - 4

vertex = (- 2, - 4 )