Question

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

Answer 1

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

Answer 2

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

Answer 3

left and right?

Answer 4

cuz the foci

Answer 5

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

Answer 6

and you know vertex already,
so the equation will look like :

\(\large (y-(-3))^2=4p(x-5)\)

right ?

Answer 7

you just need to find the value of \(\large p\)

Answer 8

yes

Answer 9

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

Answer 10

you still need to find the value of \(\large p\)


p = focus - vertex
= 1 - 5
= -4

Answer 11

so, the equation wud be :

\(\large (y-(-3))^2=4(-4)(x-5) \)

Answer 12

simplify

Answer 13

ok

Answer 14

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

Answer 15

either way is fine...

Answer 16

\(\large (y-(-3))^2=4(-4)(x-5)\)

is same as :

\(\large (y+3)^2=-16(x-5)\)