SOLUTION: what is the equation for a parabola that has the same shape a y=x^2 but has an axis of symmetry of x=2 and opens downward?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: what is the equation for a parabola that has the same shape a y=x^2 but has an axis of symmetry of x=2 and opens downward?      Log On


   

Question 831216: what is the equation for a parabola that has the same shape a y=x^2 but has an axis of symmetry of x=2 and opens downward?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+x%5E2+ has the y-axis for an axis of symmetry
because replacing x with -x will give me the same y
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+y+=+%28x-2%29%5E2+ is the parabola shifted to the right 2 units
+y+=+-%28x-2%29%5E2+ is the parabola turned upside down
Here's a plot of all 3 parabolas: