Final answer:
The function y = |x| + 7 vertically shifts the original function y = |x| upwards by 7 units on the y-axis.
Step-by-step explanation:
The function y = |x| + 7 moves the function y = |x| in an upward direction.
This is because adding a constant to a function without changing the x-component will translate the graph vertically by the amount of the constant.
In this case, since 7 is positive, it shifts the graph upwards by 7 units on the y-axis.
This does not change the 'evenness' or 'oddness' of the original function, meaning the absolute value function remains symmetric about the y-axis after the vertical shift.