Question

What are the vertex and x-intercepts of the graph of the function given below?
y=x² - 2x - 24

Answer 1

Answer: Vertex: (1,-25); intercepts: x = 6,-4

Explanation:

A P E X

Answer 2

The answer to your question is Vertex (1, - 25)

x-intercepts = -4, 6

Explanation:

Data

Function y = x² - 2x - 24

Vertex = ?

x- intercepts = ?

Process

1.- Factor to find the vertex

y = x² - 2x - 24

y + 24 = x² - 2x

y + 24 + (1)² = x² - 2x + (1)²

y + 24 + 1 = x² - 2x + 1

y + 25 = (x - 1)²

Vertex = (1, -25)

2.- See the graph below

From the graph, we get the x-intercepts

x₁ = -4 x₂ = 6