Answer:
The points are (2,-4) and (6,-4)
Step-by-step 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.
