Answer:
vertex = (- 2, - 4 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 4x ← is in standard form
with a = 1, b = 4, c = 0 , then
x = - [tex]\frac{4}{2}[/tex] = - 2
Substitute x = - 2 into the equation for corresponding value of y
y = (- 2)² + 4(- 2) = 4 - 8 = - 4
vertex = (- 2, - 4 )
