Question

find the equation for the parabola whose vertex is (2, -5) and passes through (4,7). Express your answer in standard form for a quadratic.

Answer 1

http://www.mathwarehouse.com/geometry/parabola/images/standard-vertex-forms.png

see the differences?

you'd work from the "vertex form" and then factor it to get the "standard form" for it

Answer 2

so, the vertex gives you
(2, -5)

and it passes through (4, 7)

so, it looks like above