Question

A classmate said that the vertex of g(x) = -5(x + 2)^2 - 4 is (2, 4). Is your classmate correct? If not, what is the correct vertex?

Answer 1

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)