SOLUTION: write the equation of the parabola with the same shape as f(x)=-2x^2 but with the vertex (-3,2).
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Question 150468: write the equation of the parabola with the same shape as f(x)=-2x^2 but with the vertex (-3,2).
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Go back to the general formula for a parabola which is
The formula for the x-coordinate of the vertex is
With the parabola ,
So,
and
So, the vertex of this parabola is (0,0). You are asked to keep the
shape the same, but move the vertex to (-3,2)
I can say
I don't want to change, because that would change the shape, so
So far, I have
I can use (-3,2) to find
answer
I'll plot both these equations
Each vertex looks OK
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