Answer: Classmate is wrong. Vertex = (-2, -4)
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- "a" is the vertical stretch
- -a is a reflection over the x-axis
- h is the horizontal shift (positive = right, negative = left)
- k is the vertical shift (positive = up, negative = down)
Given: g(x) = -5(x + 2)² - 4
↓ ↓
h= -2 k= -4
Vertex = (-2, -4)
