Question

Let f(x)=-3x+2. Write a function g whose graph is a translation 1 unit up from the graph of f.

Answer 1

To move the graph up, we need to change the part of the function that dictates the y-intercept.

In this function, which is displayed in slope intercept form, we can tell what each part of the function dictates:

F(x) = mx + b

mx = slope

b = y-intercept

In the function f(x) = -3x + 2, we can shift the entire line up 1 unit by changing the y-intercept from 2 to 3.

Your new function is f(x) = -3x + 3