Question

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

one answer for the vertex and one for the x-intercepts.
A. x-intercepts: (4,0), (-6, 0)
B. x-intercepts: (-4,0), (-6, 0)
C. Vertex: (1, -25)
D. Vertex: (1, 23)
E. Vertex: (-1, -21)
OF. x-intercepts: (-4, 0), (6, 0)

Answer 1

C. Vertex (1;-25)

F. x-intercepts: (-4;0), (6;0).

Explanation:

1) x-coordinate of the vertex: -b/2a=1; y-coordinate of the vertex: -25;

2) for x-intercepts it needed to solve the equation x²-2x-24=0;

x=6;-4;

3) finally, correct answers are: C. Vertex (1;-25) and F. x-intercepts: (-4;0), (6;0).