Question

{URGENT} {Will Medal} How would you go about finding "p" in the vertex form of the equation of a vertical parabola?

Equation: y = 1/4p (x - h)^2 + k

Focus of Parabola: (6, 4)
Equation of Directrix: y = -2
Axis of symmetry: (6, -2)
Vertex: (6, 1)

In other words, what is p? How do I find p?

Answer 1

In a vertical parabola, the focus is at (h, k + p) and the directrix is the line y = k - p.
Our vertex (h,k) is (6,1)
The focus is (6,4); we are adding 3 to y value, this means that p must equal 3!

Answer 2

@Aveline Thank you very much for the response. Have a wonderful rest of the week

Answer 3

You too ^^