SOLUTION: equation of the parabola with vertex (-6,2)

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Question 698163: equation of the parabola with vertex (-6,2)
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Use the vertex form:



where is the vertex.





where . Note that the equation is for a set of parabolas with infinite elements; one for each possible value of

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Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
the equation for a parabola can also be written in "vertex form":

In this equation, the vertex of the parabola is the point (, ).

if (, )=(, ), than



.........the coefficient of here is
... to find the , set





next, we find




.......since plug both in and solve for







equation will be:





check it on a graph:






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