Write the equation of a quadratic function who has the vertex of (4,-7)

Given:

The vertex of a quadratic function is (4,-7).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

         ...(i)

Where a is a constant and (h,k) is vertex.

The vertex is at point (4,-7).

Putting h=4 and k=-7 in (i), we get

The required equation of the quadratic function is where, a is a constant.

Putting a=1, we get

Therefore, the required quadratic function is .

step-by-step explanation: