SOLUTION: Find the equation of parabola, find the two points that defines the latus rectum and graph of the equation. Focus at(2,-5) vertex(2,-3)

Algebra ->  Circles -> SOLUTION: Find the equation of parabola, find the two points that defines the latus rectum and graph of the equation. Focus at(2,-5) vertex(2,-3)      Log On


   



Question 1105375: Find the equation of parabola, find the two points that defines the latus rectum and graph of the equation. Focus at(2,-5) vertex(2,-3)
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Those two mean that the directrix is y=-1, or the general point (x,-1). The parabola has a maximum point for its vertex. You can simply follow the formula for a derived parabola equation.

4p%28y-k%29=-%28x-h%29%5E2


You already found that p=2 and you were given the vertex, so
4%2A2%28y%2B3%29=-%28x-2%29%5E2
or
highlight%288%28y%2B3%29=-%28x-2%29%5E2%29

derive equation for parabola, given focus and directrix

same idea but vertex not at the origin