New Notes Blog: `(0,8)` Write the standard form of the equation of the parabola with the given focus and vertex at (0,0)

Sunday, 8 September 2013

We are asked to write the equation for the parabola with focus (0,8) and vertex at the origin:

The equation for a parabola with focus (0,a) and vertex at the origin is $\displaystyle{{x}}^{{2}}={4}{a}{y}$

So the equation we seek is $\displaystyle{{x}}^{{2}}={32}{y}$

We are asked to write the equation for the parabola with focus (0,8) and vertex at the origin:

The equation for a parabola with focus (0,a) and vertex at the origin is $\displaystyle{{x}}^{{2}}={4}{a}{y}$

So the equation we seek is $\displaystyle{{x}}^{{2}}={32}{y}$

New Notes Blog