Answer:
(- 2, 9 )
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = - x² - 4x + 5 ← is in standard form
with a = - 1 and b = - 4, thus
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{-2}[/tex] = - 2
Substitute x = - 2 into equation for corresponding y- coordinate
y = - (- 2)² - 4(- 2) + 5 = - 4 + 8 + 5 = 9
vertex = (- 2, 9 )
