Question 1081477

for a parabola given with the vertex (3,4) and focus (3,6) write an equation. how would I get started when solving this?
<pre><b>1)</b> The coordinates of the vertex, or (h, k) are: (3, 4) 
<b>2)</b> Use (h, k) and the focus: (h, p + k) to find p
<b>3)</b> Substitute values for h, k, and p into the CONIC FORM of a parabola with a vertical axis of symmetry, or {{{(x - h)^2 = 4p(y - k)}}}. 
   You should get the equation in CONIC form: {{{highlight_green((x - 3)^2 = 8(y - 4))}}}, or in VERTEX form: {{{highlight_green(matrix(1,3, y, "=", (1/8)(x - 3)^2 + 4))}}}