What are the vertex and x-intercepts of the graph of the function given below?

y = x2 - 2x - 24

A. Vertex: (7, 5); intercepts: x = 6, 8

B. Vertex: (-1, - 21); intercepts: x = 6, 4

C. Vertex: (0, 0); intercepts: x = - 4, 6

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

Question

Mathematics

Dale Beard

22 August, 00:11

What are the vertex and x-intercepts of the graph of the function given below?

y = x2 - 2x - 24

A. Vertex: (7, 5); intercepts: x = 6, 8

B. Vertex: (-1, - 21); intercepts: x = 6, 4

C. Vertex: (0, 0); intercepts: x = - 4, 6

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

+4

Answers (1)

Know the Answer?

Perla Poole · Answer 1

Hello:

x²-2x-24 = (x²-2x+1) - 1-24

= (x-1) ² - 25 ... (vertex form)

. Vertex: (1, - 25);

intercepts: x = 6, - 4 because:

f (x) = 0 ... (x-1) ² - 25 = 0

(x-1) ² = 5²

x-1=5 or x-1 = - 5

x=6 or x=-4

What are the vertex and x-intercepts of the graph of the function given below?y = x2 - 2x - 24A. Vertex: (7, 5); intercepts: x = 6, 8B. Vertex: (-1, - 21); intercepts: x = 6, 4C. Vertex: (0, 0); intercepts: x = - 4, 6D. Vertex: (1, - 25); intercepts: x = 6, - 4

What are the vertex and x-intercepts of the graph of the function given below?

y = x2 - 2x - 24

A. Vertex: (7, 5); intercepts: x = 6, 8

B. Vertex: (-1, - 21); intercepts: x = 6, 4

C. Vertex: (0, 0); intercepts: x = - 4, 6

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