Respuesta :
Answer:
vertex = (2, - 32 )
Step-by-step explanation:
given a quadratic function in standard form
y = ax² + bx + c ( a ≠ 0 ) , then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
given
y = 2(x + 2)(x - 6) ← expand factors using FOIL
= 2(x² - 4x - 12 ) ← distribute parenthesis
y = 2x² - 8x - 24 ← in standard form
with a = 2, b = - 8 , then
x = - [tex]\frac{-8}{4}[/tex] = 2
substitute x = 2 into the function for corresponding y- coordinate
y = 2(2 + 2)(2 - 6) = 2(4)(- 4) = 8 × - 4 = - 32
vertex = (2, - 32 )
