Question

For the function f(x) =X^2 - 8x + 8 use f(x) = −4 to find two points on the graph of the function.

Answer 1

The points are (2,-4) and (6,-4)

Explanation:

Given: f(x) = x² - 8x + 8

at f(x) = -4

∴ x² - 8x + 8 = -4

Solve the the quadratic equation to find x

∴ x² - 8x + 8 + 4 = 0

∴ x² - 8x + 12 = 0

Factor the equation:

∴ (x - 2) (x - 6) = 0

∴ x = 2 OR x = 6

So, there are two points on the graph of the function at which f(x) = -4

The points are (2,-4) and (6,-4)

Also, see the attached figure which represents the solution by graph.