What are the coordinates of the vertex of the parabola represent by the equation y=-5x^2+30x-25

The coordinate of the  vertex of the parabola is (h,k) =  (3,20)

Step-by-step explanation:

The given equation of the parabola is

Now, the General Parabolic Equation is of the form:

, then the vertex is the point (h, k).

Now, to covert the given equation in the standard form:

Using the COMPLETE THE SQUARE METHOD,

or

⇒The general formed equation of the given parabola is

Comparing this with general form, we get

h = 3, k = 20

Hence, the coordinate of the  vertex of the parabola is (h,k) =  (3,20)

24 units

step-by-step explanation: