Question

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

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

Answer 2

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

Step-by-step explanation: Apex