Answer:
y = 2x² - 24x + 76
Explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here a = 2 and (h, k ) = (6, 4 ) , then
y = 2(x - 6)² + 4 ← in vertex form
expand factor using FOIL
y = 2(x² - 12x + 36) + 4 ← distribute parenthesis by 2
y = 2x² - 24x + 72 + 4
y = 2x² - 24x + 76 ← in standard form