Posted by Marie on Wednesday, March 7, 2007 at 9:14pm.
write the equations of the parabola, the directrix, and the axis of symmetry.
vertex: (4,2)
focus: (4,6)
if someone could explain how to do this problem then that would be great! thanks in advance!
Formats to help you find the equation for a parabola:
(x  h)^2 = 4p(y  k)
Vertex = (h, k)
Focus = (h, k + p)
Directrix: y = k  p
You are given the vertex (4,2) and the focus (4,6).
Since we know k, which is 2, we can figure out p. Format = (h, k + p) for focus. Therefore, p = 4.
I'll set this up and let you take it from there:
[x  (4)]^2 = 4(4)(y  2)
The axis of symmetry is: x = 4 (vertex xvalue).
I hope this will help.
good post. mathguru, if you would like to join us here at jiskha as a volunteer teacher, email me at
bobpursley@gmail.com
it did. thanks so much!
Thanks Bob! Just happy to help. :)

Pre Cal  Anonymous, Wednesday, April 27, 2016 at 10:57pm
x^2=24y
Answer This Question
Related Questions
 Pre Cal Check  focus: (0,p) vertex: if not given, then it is assumed (0,0) ...
 pre cal  What is the center of the conic whose equation is x^2 + 2y^2  6x + 8y...
 algebra  6. Find the equation of each parabola described below. a) parabola ...
 precalculs  Explain what each of the following represents, and how equations (a...
 math  write an equation for the parabola with focus (1,3) and vetex (0,3) See ...
 algebra  Can someone check my answers please and if Im wrong please explain. 1...
 maths  Given that the equation of the parabola is 5y^2 + 24x = 0. Find (1)The ...
 precallcuslus  can you check my work and explain the last question because I do...
 Pre Cal.  1. Identify the conic section represented by: 9y^2+4x^2  108y+24x= ...
 PreCalc  Find the vertex, value of p, axis of symmetry, focus, and directrix ...
More Related Questions