# Math Help - Algebra II: Transforming Linear Functions

1. ## Algebra II: Transforming Linear Functions

The Red Cab Taxi Service used to charge $1.00 for the first 1/5 mile and$0.75 for each additional 1/5 mile. The company just raised its rates by a factor of 1.5.

a.) Write a new price function g(x) for a taxi ride.

b.) Describe the transformation(s) that have been applied.

Does anyone know how to write the new function?

2. Well, I will assume that we plot price on the y axis and distance on the x axis.

What the question is asking is for you to vertically stretch the function by a factor of 1.5. (That is, every y-value should be multiplied by 1.5).

So if f(x) is your original price function, then you want $g(x) = 1.5*f(x)$.

Does that help at all?

3. ## Thanks

Yes, thanks for your help. I appreciate it very much.