What is an equation of a parabola with the given vertex and focus? vertex: (-2,5); (-2,6)

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)