Question

Derive the equation of the parabola with a focus at (2, –1) and a directrix of y = -1/2 .

Answer 1

@ganeshie8 f(x) = –(x – 2)^2 + 3/4 right?

Answer 2

x coordinate of vertex is correct

Answer 3

@ganeshie8 and the y coordinate?

Answer 4

Notice the y coordinate of vertex has to be negative

Answer 5

work it again

Answer 6

wait so then what would the answer be?

Answer 7

just change the sign of y coordinate of vertex in ur equation
everything else looks good

Answer 8

f(x) = -(x - 2)^2 - 3/4

Answer 9

THank you!

Answer 10

yw