Question

The function f(x)=200/x + 10 models the cost per student of a field trip when x students go on the trip. How is the parent function f(x)=1/x transformed to create the function f(x)=200/x + 10

Answer 1

Explanation:

We need to explain the transformations applied to 1/x to get f(x). We get f by following the following steps.

1. Multiply 1/x by 200 to get the function 200/x. This represents taking the graph of 1/x and expanding it vertically by a factor of 200.

2. Sum 10 units to 200/x. This represents a vertical shift of 10 units to the graph of 200/x.