Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?

shift f(x) = 6x five units to the left and seven units up.
shift f(x) = 6x five units to the right and seven units down.
shift f(x) = 6x seven units to the right and five units up.
shift f(x) = 6x seven units to the left and five units dow

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)