College Algebra (6th Edition)

1. Graph $f(x)=x^{2}$ ...opens up, vertex at (0,0), some points: $(0,0)$, $(\pm 1,1),\ (\pm 2,4)$. (graph: blue, dashed) Refer to Table 2.4 (page 279): 2. To graph $y=(x-1)^{2} =f(x-1)$ by shifting the graph of f to the right by 1 unit. ...some points: $(1+0,0)$, $(1\pm 1,1),\ (1\pm 2,4)$ (graph: green, dotted ) 3. To graph $g(x)=-(x-1)^{2} =-f(x-1)$ by reflecting the green graph about the x-axis. ...some points: $(1+0,0)$, $(1\pm 1,-1),\ (1\pm 2,-4)$ (graph: red )