Question

Write an equation of a parabola with the given vertex and focus.

Vertex (4,-1); Focus (4,-2)
What is the equation for the parabola?
y=

Thank you in advance!

Answer 1

this would really help you out..
if u still dont get it u can ask but its quite explained here..

https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Quadratic-relations-and-conic-sections.faq.question.48599.html

Answer 2

You know (h,k) and you know the focus from which you can find the p.
h=4, k=-1
(x-h)^2=4p(y-k)
(x-4)^2=4(-1)(y-(-1))
Written more nicely you get

(x-4)^2=-4(y+1)

Answer 3

Thank you guys!