Answer:
g(x) = 4(x + 11)² - 484
Step-by-step 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
g(x) = 4x² + 88x ( factor out 4 from each term )
= 4(x² + 22x)
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 22x
g(x) = 4(x² + 2(11)x + 121 - 121)
= 4(x + 11)² - 4(121)
= 4(x + 11)² - 484 ← in vertex form
