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)

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- Feb 4th 2010, 07:43 AMdissidiaParabola.
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, 07:48 AMfelper
If the parabola passes through the origin, has the form $\displaystyle y^2=4px $. Evaluating at the given point, you can find p and the equation of the parabola.

- Feb 4th 2010, 07:50 AMdissidia
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, 07:52 AMfelper
Yep.

- Feb 4th 2010, 07:55 AMdissidia
If that's the case, I'll get:

16=4(p)(3)

p=12-16

p=-4

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