Using a directrix of y = −2 and a focus of (1, 6), what quadratic function is created?

The quadratic function which is created is:

We know that if  the equation of the parabola is given by:

where the focus of the parabola is: (h,k+p)

and the equation of the  directrix  is given by: y=k-p

Here the focus of the parabola is at: (1,6)

i.e. (h,k+p)=(1,6)

i.e. h=1---------(1) and k+p=6--------(2)

And the equation of directrix is: y= -2

i.e.  k-p= -2---------(3)

On using equation (2) and (3) we have:

2k=4

and k=2

and putting the value of k in equation (2) we have:

p=4

Hence, the quadratic function is given by:

i.e.

i don't even know man. edge inuity be messing with us. i had to ask a question too.

mnkjn

step-by-step explanation: