(23 x (192 + 8)] - 27 = (Simplify your answer Enter your answer in the answer box and then click Check A

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