Question

Find g(x), where g(x) is the translation 9 units up of f(x)= –3x–8.

Write your answer in the form mx+b, where m and b are integers.

g(x)=

Answer 1

To translate a function 9 units up, we need to add 9 to the output (y) of the original function.

So, we can start with the function f(x) = -3x - 8 and add 9 to it:

g(x) = f(x) + 9

g(x) = -3x - 8 + 9

g(x) = -3x + 1

Therefore, g(x) = -3x + 1 is the translation 9 units up of f(x) = -3x - 8.

We can write this in the form mx + b, where m = -3 and b = 1.

So, g(x) = -3x + 1 can be written as g(x) = mx + b, where m = -3 and b = 1.