Given the parabola $y = x^{2} − 8x + 10$, complete parts (a) through (c) below.

1. Find the vertex by averaging the $x$-intercepts.

   Hint (a):

   Refer to problem 5-28 for help.

   Answer (a):

   $\left(4, −6\right)$

2. Find the vertex by completing the square.

   Hint (b):

   You will need $+16$ on the right side of the equation to complete the square.

3. Find the vertex of $y = x^{2} − 3x$ using your method of choice.

   Hint (c):

   Use one of the methods from part (a) or part (b).