A parabola has vertex $\left(2, 3\right)$ and contains the point $\left(0, 0\right)$.  

1. If this parabola is a function, find its equation.

   Hint (a):

   Use the equation$y = a\left(x − h\right)^{2} + k$; if $\left(h, k\right) = \left(2, 3\right)$; at $(0, 0)$.

   More Help (a):

   $0 = a\left(0 − 2\right)^{2} + 3$

   $−3 = a\left(4\right)$

   $-\frac{3}{4}=\textit{a}$

   Answer (a):

   $\textit{y}=-\frac{3}{4}(\textit{x}-2)^{2}+3$

2. Suppose this parabola is not a function, but is a “sleeping” parabola. Find its equation.

   Hint (b):

   Use the equation $x = b\left(y − k\right)^{2} + h$; if $\left(h, k\right) = \left(2, 3\right)$; at $\left(0, 0\right)$.