Burt was asked to write the equation of the parabola with Focus (1,3) and Directrix y = 1. Follow his work below to identify his mistake, explain why it is wrong, and show/tell Burt how to find the correct equation. Bob's explanation/work: Since the Directrix says y = 1,I subtract it from the y- coordinate of the Focus and get 3 -1= 2. That is my 1 value for c... so my equation is: y – 3 = (x – 1)2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Burt was asked to write the equation of the parabola
with Focus (1,3) and Directrix y =1. Follow his work
below to identify his mistake, explain why it is wrong,
and show/tell Burt how to find the correct equation.
Bob's explanation/work:
Since the Directrix says y = 1, 1 subtract it from the y-
coordinate of the Focus and get 3 –1= 2. That is my
value for c... so my equation is: y - 3 = (x - 1)-.
8
Transcribed Image Text:Burt was asked to write the equation of the parabola with Focus (1,3) and Directrix y =1. Follow his work below to identify his mistake, explain why it is wrong, and show/tell Burt how to find the correct equation. Bob's explanation/work: Since the Directrix says y = 1, 1 subtract it from the y- coordinate of the Focus and get 3 –1= 2. That is my value for c... so my equation is: y - 3 = (x - 1)-. 8
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