# Parabola.

• Feb 4th 2010, 08:43 AM
dissidia
Parabola.
Write the eq of the parabola w/ vertex at the origin that satisfies the given conditions:

a. The focus is on the x-axis and the parabola passes through the point (3,4)
b. The parabola opens to the left and passes through the point (-3,4)
• Feb 4th 2010, 08:48 AM
felper
If the parabola passes through the origin, has the form $y^2=4px$. Evaluating at the given point, you can find p and the equation of the parabola.
• Feb 4th 2010, 08:50 AM
dissidia
Wait, to be honest, I really don't know how to do that, do I just have to plug in 3, 4 as x and y's at y2=4px?
• Feb 4th 2010, 08:52 AM
felper
Yep.
• Feb 4th 2010, 08:55 AM
dissidia
If that's the case, I'll get:

16=4(p)(3)
p=12-16
p=-4

....Lol, Correct me if I'm wrong.