Question

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)? −8 −4 33 49

Answer 1

Answer:

D. 49

Step-by-step explanation:

Answer 2

Answer:

y - value of the vertex is 49.

Step-by-step explanation:

Given function is f(x) = -(x - 3)(x + 11)

f(x) = -(x² - 3x + 11x - 33)

     = -(x² + 8x - 33)

     = -(x² + 8x + 16 - 49)

     = -[(x + 4)² - 49]

     = -(x + 4)² + 49

Comparing this equation with the vertex form of a quadratic function,

f(x) = -(x - h)² + k

Where (h, k) is the vertex of the function.

Vertex of the parabola is (-4, 49)

Therefore, y-value of the vertex is 49.