Question

if the vertex 3,-1 and focus 5,-1 what is equation?

Answer 1

since the y coordinate of vertex and focus are same : "-1",
the parabola opens RIGHT side.

so u can use the equation from last column

Answer 2

\(\large x = a(y-k)^2 + h\)

Answer 3

you need to figure out \(a\), \(h\) and \(k\) values and plug them in above equation