1. The parent function for comparison is typically the simplest form of the function type, for example, the parent function of a quadratic is $y=x^2$. 2. To compare, identify the transformations applied to the parent function such as shifts, stretches, compressions, or reflections. 3. For instance, if the given function is $y=2(x-3)^2+4$, compared to the parent $y=x^2$: - The factor 2 indicates a vertical stretch by 2. - The $(x-3)$ inside the square indicates a horizontal shift 3 units to the right. - The +4 outside indicates a vertical shift 4 units up. 4. These transformations change the graph's shape and position but the basic parabolic shape remains from the parent function. 5. Understanding these changes helps in graphing and analyzing the function relative to its parent.