Answer
See graphs
Work Step by Step
We are given the function:
$f(x)=x^2-6x-1$
Rewrite the function building the square:
$f(x)=(x^2-6x+9)-9-1=(x-3)^2-10$
We start graphing the parent function $a(x)=x^2$.
Then horizontally shift $a(x)$ 3 units to the right to get $b(x)=(x-3)^2$.
Finally, vertically shift $b(x)$ 10 units downward to get $f(x)=(x-3)^2-10$.
