Function = y=(x-4)^2-5+7calculate the x and y values for the vertex point of the parabola. state what the axis of symmetry is. set your quadratic function to zero (let y = 0) and use either the quadratic formula or completing the square method to solve for the two solutions of x when y = 0 calculate the discriminant for the quadratic equation.

Given equation of parabola is

Or we can simplify that to

This equaion looks similar to formula

Comparing both equation, we get:

a=1, h=4, k=2

(h,k) represents the vertex of the parabola

Hence vertex of the given parabola is (4,2).

So x-value of the vertex = 4

So y-value of the vertex = 2

Axis of symmetry is given by equation x=h

So the answer will be x=4

Now we will set y=0 and solve this using quadratic formula including desriminant

compare with quadratic equation  , we get:

a=1, b=-8, c=18

Descriminant is given by formula:

which is imaginary

Hence there will be no real solution for x-intercept.

mnkjn

step-by-step explanation:

step-by-step explanation:

a'(12.5,11.25)

slope=(y1-y2)/(x1-x2)