What is an equation of a parabola with the given vertex and focus? vertex: (-2,5) focus: (-2,6) show/explain your work

We know that
To generate the equation of the parabola, we start with this equation
(x -h)²= 4p * (y -k)
where "h" and "k" are the (x, y) values of the vertex.
"p" is the difference between the focus "y-value" and the vertex y-value.
p = (6-5) = 1
Now we put these numbers into the equation:
(x -h)² = 4p * (y -k)
(x +2)² = 4 * 1 * (y -5)
(x +2)² = 4*(y -5)

the answer is 
(x +2)² = 4*(y -5)

You can find the area of a rectangle by multiplying the length and height. so multiply 1/2*7/4(which is the simpler version of 1 3/4) and you get 7/8 as your answer.