Question

Find the equation, f(x) = a(x-h)2 + k, for a parabola that passes through the point (2,4) and has the origin as its vertex. what is the standard form of the equation

Answer 1

For the given vertex, the equation is
.. f(x) = a(x -0)^2 +0
.. f(x) = ax^2

For the given point,
.. f(2) = 4 = a*2^2 = 4a
Then a=1 and your equation is
.. f(x) = x^2