Identify the factor k for the vertical compression from the original function y=|x+6| to the dilated function y=|1/2x+3|. Enter your response as a fraction.
To find the factor of vertical compression, we compare the coefficients of the x terms in the original function and the dilated function.
In the original function y = |x + 6|, the coefficient of x is 1.
In the dilated function y = |(1/2)x + 3|, the coefficient of x is 1/2.
Thus, the factor of vertical compression is 1/2.