Which is the equation of a parabola with focus (0, 5) and directrix y= -5?

Our require equation of parabola is given by

Step-by-step explanation:

Since we have given that

Focus (0,5) -------------(1)

And we know that the general form of focus is given by

Focus (h,k+p) -------------------(2)

So, Comparing both the equations we get that

h = 0

and k+p = 5 ----------------------(3)

And directrix is given by

y = -5

The general form of directrix is given by

y = k-p

Putting the value of y in the above equation :

-5=k-p

p-k=5 ----------------------------(4)

Using (3) and (4), we get that

So, putting the value of k in equation (3), we get that

So, the equation of parabola becomes,

Hence, our require equation of parabola is given by

correct answer:

a + bi