Question

Write a function g whose graph represents a translation 2 units to the right followed by a horizontal stretch by a factor of 2 of the graph of f(x)= |x|

Answer 1

g(x) = | x/2 - 2 |

Explanation:

f(x - 2) translates f(x) two units to the right.

f(x/2) stretches f(x) by a factor of 2.

Then g(x), defined to be the function equal to the two transformations applied in the sequence as stated, to f(x), is

g(x) = | x/2 - 2 |