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

Question

Jerome Sexton

Mathematics

30 January, 16:15

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

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Gianni Valdez · Answer 1

Step-by-step 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.