Find the equation of the quadratic function with zeros 10 and 12 and vertex at (11, -2).

Step-by-step explanation:

we are given a quadratic equation

Let's assume formula of vertex form of parabola as

where vertex is (h,k)

we are given

vertex =(11,-2)

so, h=11, k=-2

now, we can plug it

now, we are given zeros at x=10 and x=12

we know that zeros will be x=10 , y is 0

so, we can plug x=10 and y=0 and solve for 'a'

now, we can plug it back

and we get

so, we get quadratic equation as