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

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

   Answer (a):

   $(4,−6)$

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).