On graph paper, make a table and graph the function $f\left(x\right)=-2\left(x-1\right)^2+8$.  

1. Label the $x$- and $y$-intercepts and state their coordinates.

   Hint (a):

   Where does the graph cross the $x$-axis? The $y$-axis?

2. Name the vertex.

   Answer (b):

   $(1, 8)$

3. Find $f\left(100\right)$ and $f\left(-15\right)$.

   Hint (c):

   Substitute these values into the equation.