Question

What is an equation of a parabola with the given vertex and focus

vertex: (5, 4) ; focus: (8, 4)

Answer 1

the y coordinates of the vertex and focus are the same, so the axis of symmetry is a horizontal line

Answer 2

this means that the parabola opens left/right

Answer 3

the vertex is to the left of the focus, to this means that the parabola opens up to the right and it looks something like this

Answer 4

the distance from the vertex to the focus is p = 3

the vertex is (h,k) = (5,4), so h = 5, k = 4

Answer 5

Okay, I get you so far

Answer 6

plug those three variables into

4p(x-h) = (y-k)^2

then convert to standard form if you need to

Answer 7

@jim_thompson5910 should it be equal to y or is it okay if it is equal to x?