Identify the factor k for the vertical compression from the original function y=|x+6|
to the dilated function y=|12x+3|
. Enter your response as a fraction.(1 point)
k=
To find the factor k for the vertical compression, we need to compare the coefficients of x in the original and dilated functions.
The original function is y = |x + 6|.
The dilated function is y = |12x + 3|.
The coefficient of x in the original function is 1.
The coefficient of x in the dilated function is 12.
Since k represents the vertical compression, we can obtain it by dividing the coefficient of x in the dilated function by the coefficient of x in the original function:
k = 12/1 = 12
Therefore, k = 12.