Final answer:
The given equation is a transformation of the parent function y=|x|. It involves stretching the graph horizontally by a factor of 2, reflecting it in the x-axis, and shifting it vertically upward by 1 unit.
Step-by-step explanation:
The given equation is y=-2|2x|+1, which is a transformation of the parent function y=|x|. The transformation involves two steps: stretching the graph horizontally by a factor of 2 and reflecting it in the x-axis. The negative sign in front of the absolute value function causes the reflection in the x-axis, and the coefficient -2 stretches the graph horizontally by a factor of 2. The +1 shifts the graph vertically upward by 1 unit.