Question

Find the equation of the parabola with vertex at (-3, 2) and focus at (0, 2)



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Answer 1

Step-by-step explanation:

First, plot the vertex and the focus tounderstand he orientation of the parabola.

In this case, we have a parabola that opens to the right. The form of the equation for this type of parabola is:

4p(x−h)=(y−k)2

where the vertex is at (h,k) and p is the distance from the vertex to the focus.

For the given problem, we have (h,k)=(−3,2) and p=3 . Therefore, the required equation is:

12(x+3)=(y−2)2

(PLEASE SEE THE ATTACHMENT)

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