SOLUTION: each point lies on a parabola that has its vertex at (0,1). Write the equation of the parabola. Indicate whether the graph opens up or down. Parabola is (2,-1)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: each point lies on a parabola that has its vertex at (0,1). Write the equation of the parabola. Indicate whether the graph opens up or down. Parabola is (2,-1)      Log On


   

Question 914011: each point lies on a parabola that has its vertex at (0,1). Write the equation of the parabola. Indicate whether the graph opens up or down. Parabola is (2,-1)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
It seems to open down. POINT (not Parabola) on the parabola is (2,-1).

y=a%28x-0%29%5E2%2B1, using standard form and the given vertex. You want to use the other known point to find the value for the factor a.

y=ax%5E2%2B1
y-1=ax%5E2
a=%28y-1%29%2Fx%5E2

Do the rest.