y=2|x|after a vertical stretch about the x-axis by a factor of 3.

To perform a vertical stretch about the x-axis by a factor of 3 on the function y = 2|x|, we multiply the function by 3. The original function is y = 2|x|. After the vertical stretch by a factor of 3, the new function becomes: y = 3 * 2|x| Simplifying further: y = 6|x| Therefore, the function y = 2|x| after a vertical stretch about the x-axis by a factor of 3 is y = 6|x|.