Question

Find the following key features of the graph f(x) = x^2-8x+12.
What are the x intercepts?

Answer 1

The x-intercepts of the function f(x) = x^2 - 8x + 12 are found by solving the quadratic equation for when f(x) = 0, which results in x-intercepts at x = 2 and x = 6.

Step-by-step explanation:

To find the x-intercepts of the function f(x) = x2 - 8x + 12, we need to determine where the function crosses the x-axis. This occurs when f(x) = 0. Thus, we solve the quadratic equation x2 - 8x + 12 = 0 for x.

Factoring the quadratic, we get:

• (x - 2)(x - 6) = 0

Setting each factor equal to zero gives us the solutions:

1. x - 2 = 0 → x = 2
2. x - 6 = 0 → x = 6

Therefore, the x-intercepts of the graph are at x = 2 and x = 6.