SOLUTION: As I left collage 60 years ago my mathematics is rusty. I want to build a solar cooker with the dimensions as follows: Diameter = 24 inches Focus point is 6 to 8 inches. Wha

Question 1157225: As I left collage 60 years ago my mathematics is rusty. I want to build a solar cooker with the dimensions as follows:
Diameter = 24 inches
Focus point is 6 to 8 inches.
What I have tried. F(Y) = 4aX^2 where a the focus of 6 inches. However when I plot it all the lines are linear.
thanks Dave
email address brotherdave@rogers.com
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Try
The focus will be on the x-axis a units from the origin.
here's the plot with :

------------------
A vertical line through the focus intersects the parabola at
( a, 4a/2 ) and ( a, -4a/2 ), and with
( 5, 10 ) and ( 5, -10 )
You can use to adjust diameter of the ( rotated ) parabola
which is the cooker.
Note that solving for ,
and

---------------------------
hope this helps

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