Find the equation for a parabola with directrix x = -3 and Focus (1,2).
Please explain in steps if possible how to write the equation for this problem.
Please explain in steps if possible how to write the equation for this problem.
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first - center is midpoint between directrix and focus
so locate it by plotting dir and F
It shows that the parabola opens to the left, and horizontal having its canter not at the origin
next step get its form.
center(-1, 2)
its form is
(y-k)²= 4p(x-h)
plug in center
(y-2)²= 4p(x+1)
find p
p=distant from F to V ,or V to Dir
p=2
plug p=2
(y-2)²= 8(x+1).
that is it.
so locate it by plotting dir and F
It shows that the parabola opens to the left, and horizontal having its canter not at the origin
next step get its form.
center(-1, 2)
its form is
(y-k)²= 4p(x-h)
plug in center
(y-2)²= 4p(x+1)
find p
p=distant from F to V ,or V to Dir
p=2
plug p=2
(y-2)²= 8(x+1).
that is it.