Answer:
Shift f(x) = 6x five units to the right and seven units down
Step-by-step explanation:
Given the options, it looks like you meant to type
ƒ(x) = 6x² and g(x) = 6(x - 5)² - 7
1. First transformation
If you subtract five units from the value of x, you shift the parabola five units to the right.
2. Second transformation
If you now subtract seven units from the value of ƒ(x). you shift the parabola seven units down.
The figure below shows the graphs of
ƒ(x) = 6x² (red)
f(x - 5) = 6(x - 5)² (blue, shifted right five units)
g(x) = 6(x - 5)² - 7 (green, shifted down seven units)
