Final answer:
To describe the given transformation with an absolute value function, use the general form y = a|bx + c| + d. Adjust the values of a, b, c, and d based on the given information. In this case, the function is compressed by a factor of 2, resulting in the function y = 2|2x| + 3.
Step-by-step explanation:
To write an absolute value function that describes the given transformation, we can use the general form of the absolute value function: y = a|bx + c| + d.
In this case, the vertex is at (0,3), which means the values of c and d will be 0.
Since the function is opening up, the value of b will be positive.
To compress the function by a factor of your choice, you can adjust the value of a.
Let's choose a compression factor of 2.
Therefore, the absolute value function that describes the transformation is y = 2|2x| + 3.