What is an equation of a parabola with the given vertex and focus?

vertex:
(

2
,
5
)
; focus:
(

2
,
6
)

2 answers

(x-h)^2 = 4 a (y-k) vertex at (h,k) , vertex to focus is a

(x-2)^2 = 4 *1(y-5)
x^2 - 4 x + 4 = 4 y - 20
4 y = x^2 - 4 x + 24
etc

check
if x = 2, 4 y = 4 - 8 + 24 = 20 so y = 5
if x = 2, vertex to focus is a which is 1 so 6, good
AAAaannndd the bot gets it wrong yet again!

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