Answer:
(1, 3 )
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 = - 2x² + 4x + 1 ← is in standard form
with a = - 2 and b = 4, thus
[tex]x_{vertex}[/tex] = - [tex]\frac{4}{-4}[/tex] = 1
Substitute x = 1 into the equation for corresponding value of y
y = - 2(1)² + 4(1) + 1 = - 2 + 4 + 1 = 3
Vertex = (1, 3 )
