Answer:
ƒ(x) = (x - 8)² - 1
Step-by-step explanation:
Start with the basic function: f(x) = x².
To shift the parabola eight units to the left, you must add eight units to the value of x. The equation for the parabola becomes
ƒ(x) = (x - 8)².
To shift the parabola down one unit, you subtract one unit from the function. The equation becomes
ƒ(x) = (x -8)² - 1.
The figure below shows the graphs of ƒ(x) = x² (red), ƒ(x) = (x - 8)² (blue), and ƒ(x) = (x - 8)² - 1 (green).
