Question

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

Answer 1

the vertex form is y = a(x - h)^2 + k

(h, k) is the vertex of the parabola.

the parabola is concave up since the focus is above the vertex

you need to find a the focal length.... it is the distance from the vertex to the focus



in this question a = 1

so the equation is

y = 1(x + 2)^2 + 5

just expand and simplify