Question

Linear function f is transformed to produce g. Write g(x) in terms of f(x).

fx=-x is translated 2 units up f(x) = -x +2
fx=-4x+5 is translated 6 units down
fx=13x is translated 3 units left

Answer 1

To write g(x) in terms of f(x), apply each given transformation to f(x).

Step-by-step explanation:

To write g(x) in terms of f(x), we need to apply the given transformations to f(x). Let's go through each transformation:

1. Translation 2 units up: g(x) = f(x) + 2. So, g(x) = -x + 2 + 2 = -x + 4.

2. Translation 6 units down: g(x) = f(x) - 6. So, g(x) = -4x + 5 - 6 = -4x - 1.

3. Translation 3 units left: g(x) = f(x + 3). So, g(x) = 13(x + 3) = 13x + 39.