SOLUTION: Find an equation for a parabola with vertex (-3,2) and focus (2,2)

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Question 1204078: Find an equation for a parabola with vertex (-3,2) and focus (2,2)
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
First, plot the vertex and the focus to understand the 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:


where the vertex is at ( , ) and is the distance from the vertex to the focus.
For the given problem, we have vertex ( , ) and focus ( , )
( , )=( , ) and the distance from the vertex to the focus
. Therefore, the required equation is:







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