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
O It is vertically stretched by a factor of 200.
O It is vertically stretched by a factor of 200 and shifted 10 units leftt
O It is vertically stretched by a factor of 200 and shifted 10 units up.
O It is vertically stretched by a factor of 200 and shifted 10 units right

Answer 1

the answer is D

Explanation:

Answer 2

It is vertically stretched by a factor of 200 and shifted 10 units right

Explanation:

Suppose we have a function f(x).

a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.

f(x - a) is shifting f(x) a units to the right.

f(x + a) is shifting f(x) a units to the left.

In this question:

Initially:
`f(x) = (1)/(x)`

Then, first we shift, end up with:

`f(x+10) = (1)/(x + 10)`

f was shifted 10 units to the left.

Finally,

`200f(x+10) = (200)/(x + 100)`

It was vertically stretched by a factor of 200.

So the correct answer is:

It is vertically stretched by a factor of 200 and shifted 10 units right