Question

The equation f(x)=2x−9f(x)=2x−9 translated 6 units up is
g(x)=

Answer 1

Start from
`f(x) = 2x - 9`

When you vertically translate the graph of a function, you are adding a constant to that equation, i.e. you're performing the transformation

`f(x) \to f(x) + k`

You translate the function
`k` units up if
`k>0` and k units down if
`k<0`

So, in your case, you have to add 6 to the function:

`f(x) = 2x - 9 \to g(x) = f(x) + 6 = 2x - 9 + 6 = 2x - 3`