## Calculus with Applications (10th Edition)

Use the table on page 62 (Translations and Reflections) ---------- If $f(x)=x^{2}$, with whose graph we are familiar, then $y=-(-x+3)^{2}+2=-(x-3)^{2}+2=-f(x-3)+2,$ whose graph is obtained by 1. translating the graph of f(x) right by 3 units. then, 2. reflecting it across the x-axis, and then 3. translating up by 2 units. (graph C)