Cubic Quartic Functions 7D9286

1. The problem gives two functions: $$y = (x-1)^3 + 5$$ and $$y = -(x+7)^4$$. 2. These are polynomial functions: the first is a cubic function shifted right by 1 and up by 5, the second is a quartic function reflected over the x-axis and shifted left by 7. 3. To analyze or graph these, we note the transformations: - For $$y = (x-1)^3 + 5$$, the base cubic $$x^3$$ is shifted right by 1 (replace $$x$$ by $$x-1$$) and up by 5 (add 5). - For $$y = -(x+7)^4$$, the base quartic $$x^4$$ is shifted left by 7 (replace $$x$$ by $$x+7$$) and reflected over the x-axis (multiply by -1). 4. These functions can be graphed or analyzed for intercepts, extrema, and general shape. Final answer: The two functions are $$y = (x-1)^3 + 5$$ and $$y = -(x+7)^4$$ as given.