Find an equation for the parabola which fits the given criteria, the endpoints of latus rectum are (2,9) and (6,9)

The equation of parabola  is ( x - 4 )² = 4 ( y - 10)

Step-by-step explanation:

Given as :

The end points latus rectum is ( 2 , 9 )    and   ( 6 , 9 )

The equation of parabola is

( x - h )² = 4p ( y - k)

Where ( h , k ) is vertex

And 4p =

Or,  4p =  

∴    p = 1

∵  focus is mid point of latus rectum

so , ,

or focus = ( 4 , 9)

So,  vertex (h , k)  =  ( 4 , 9-1 ) =  ( 4 , 8 )

SO, equation is

( x - 4 )² = 4×1 ( y - 8)

Or, ( x - 4 )² = 4 ( y - 8 )

Hence The equation of parabola  is ( x - 4 )² = 4 ( y - 8 )   Answer

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total

correct answer is b. 27/8

step-by-step explanation: