Question

Please help!!!
Parabola passes through (5,2), has a vertical axis, and has a maximum at (4,3). Write the equation.

Answer 1

@dan815

Answer 2

Standard form for parabola is (x-h)^2=4p(y-k)

Answer 3

@Hero

Answer 4

since the maximum is still a point on the line im thinking can i use it as an x,y coordinate?

Answer 5

Guess what is this maximum point !

Answer 6

is it the vertex? h,k?

Answer 7

Yes so now you need to fin p only.

Answer 8

*find

Answer 9

Given point should satisfy that equation. Find p from there

Answer 10

ok im not too sure about finding p...

Answer 11

wait...

Answer 12

i have (x-4)^2=4p(y-3) so p is -1 right? because if i plug in the (5,2) i get 1=-1p divide by -1 to both sides i get -1

Answer 13

yes

Answer 14

Right

Answer 15

yay! thanks!

Answer 16

:)