### What is the difference in solving the quadratic equation x^2 - 8x + 12 = 0 and the quadratic function f(x) = x^2 - 8x + 12? How many ...

Question: What is the difference in solving the quadratic equation x^2 - 8x + 12 = 0 and the quadratic function f(x) = x^2 - 8x + 12? How many solutions do each of these have? Is there a relationship between the two (think of the graph)? How many solutions does the function have? What happens when we graph them?