Question

What is the equation of the parabola that has a vertex at `(2, -5)` and passes through point `(-1,-2)`?

Answer 1

The equation of parabola is `y= 1/3*(x-2)^2-5`

Explanation:

The equation of parabola with vertex at (2,-5) is `y=a*(x-2)^2-5`. It passes through (-1,-2) So `-2 = a*(-1-2)^2-5` or `a=1/3`. Hence the equation of parabola is `y= 1/3*(x-2)^2-5` graph{1/3(x-2)^2-5 [-20, 20, -10, 10]}