Question

Part 1: Solve each of the quadratic equations below. Show your work.

x^2 – 36 = 0 and x^2 = 8x – 12

Part 2: Describe what the solution(s) represent to the graph of each.

Part 3: How are the graphs alike? How are they different?

Answer 1

First one can be solved with square-root property or factor as difference of squares.
The second can be put in standard form and factored (or use quadratic formula).
Solving for x when y = 0 finds the x-intercept.
For 3) graph them and look.