Write an equation of the parabola with the vertex at (5,-3) and focus at (1,-3)
@ganeshie8

Question

Write an equation of the parabola with the vertex at (5,-3) and focus at (1,-3)
@ganeshie8

ammarah · Answer

(y-k)^2=4p(x-h)

ganeshie8 · Answer

First, figure out whether it faces UP-DOWN, or LEFT-RIGHT

ammarah · Answer

left and right?

ammarah · Answer

cuz the foci

ganeshie8 · Answer

Correct ! its a left and right since the y coordinate is fixed

ganeshie8 · Answer

and you know vertex already, 
so the equation will look like :

$\large  (y-(-3))^2=4p(x-5)$

right ?

ganeshie8 · Answer

you just need to find the value of $\large p$

ammarah · Answer

yes

ammarah · Answer

wait so is that it for the equation cuz its only asking for the equation

ganeshie8 · Answer

you still need to find the value of $\large p$


p =   focus - vertex 
   =   1 - 5
    = -4

ganeshie8 · Answer

so, the equation wud be :

$\large  (y-(-3))^2=4(-4)(x-5) $

ganeshie8 · Answer

simplify

ammarah · Answer

ok

ammarah · Answer

would it be y+3? or do i just leave it like that

ganeshie8 · Answer

either way is fine...

ganeshie8 · Answer

$\large  (y-(-3))^2=4(-4)(x-5)$

is same as :

$\large  (y+3)^2=-16(x-5)$