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

Vertex (1,-25), Intercepts at (6,0) and (-4,0)

Step-by-step explanation:

Axis of symmetry = -b/2a = -(-2)/2(1) = 2/2 = 1 so x=1 is the equation of line

Plug x=1 into equation y=1-2-24=-25

factor for x-intercepts:  (x-6)(x+4)

set them equal to zero: x-6=0 so x=6   x+4=0 so x= - 4

The vertex of the provided equation (1,-25)

The x intercepts are (-4,0) and (6,0).

Step-by-step explanation:

Consider the provided equation.

Substitute y=0 to find x intercepts.

The above equation can be written as:

By zero product rule:If ab=0 then either a=0 or b=0

or

or

Hence, the x intercepts are (-4,0) and (6,0).

If the equation is in the standard form then the expression gives the x coordinate of the vertex.

By comparing the provided equation with standard form we can concluded that: a=1, b=-2 and c=-24

Substitute the respective values in the expression we get x coordinates of the vertex:

Hence, the value of x=1.

Now substitute the value of x in the provided equation to find the value of y.

Hence, the vertex of the provided equation (1,-25)