Answer:
vertex = (7, - 18)
Step-by-step explanation:
given a parabola in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 2x² - 28x + 80 is in standard form
with a = 2, b = -28 and c = 80, hence
[tex]x_{vertex}[/tex] = - [tex]\frac{-28}{4}[/tex] = 7
substitute x = 7 into the equation for corresponding value of y
y = 2(7)² - 28(7) + 80 = 98 - 196 + 80 = - 18
vertex = (7, - 18)
