Section 1.5 Transformation of Functions

Question

Write a formula for the function  that results when the graph of a given toolkit function is transformed as described.

The graph of  is reflected over the y-axis and horizontally compressed by a factor of  .

g(x)=

Answer 1

To reflect f(x) over the y-axis, multiply f(x) by -1.

To horizontally compress by a factor of 2, multiply x by 2.

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