Final answer:
To graph the function h(x) = 1/4|x|, multiply the y-values of the absolute value function by a scale factor of 1/4.
Step-by-step explanation:
The function h(x) = 1/4|x| is a transformation of the absolute value parent function, F(x) = |x|. To graph h(x), we need to multiply the absolute value function by the scale factor of 1/4.
This means that the y-values of h(x) will be 1/4 of the y-values of F(x) for every x value. For example, when x=1, F(x) = 1 and h(x) = 1/4. To graph h(x), plot the points from the parent function and then divide the y-values by 4. The resulting graph will be a scaled down version of the absolute value function.