Question

What is the equation for g(x)?

Answer 1

To translate an equation/function down in the vertical direction, you subtract the distance translated down.

Since the equation
`f(x)=4x^(2)+6` is being translated 4 units down, subtract 4 from
`f(x)` to get:

`g(x) =4x^(2)+6-4\\g(x)=4x^(2)+2`