Answer
$g(x)$ is a horizontal translation of $f(x)$ by $1$ unit.
Work Step by Step
To obtain the ordered pairs, one must substitute the values given for the variable $x$ in each function:
$$f(x) = \sqrt {x}$$
$f(0) = \sqrt {0} = 0$; therefore $(0,0)$
$f(1) = \sqrt {1} = 1$; therefore $(1,1)$
$f(4) = \sqrt {4} = 2$; therefore $(4,2)$
$f(9) = \sqrt {9} = 3$; therefore $(9,3)$
$$g(x) = \sqrt {x - 1}$$
$g(1) = \sqrt {(1 - 1)} = \sqrt {0} = 0$; therefore $(1,0)$
$g(2) = \sqrt {(2 - 1)} = \sqrt {1} = 1$; therefore $(2,1)$
$g(5) = \sqrt {(5 - 1)} = \sqrt {4} = 2$; therefore $(5,2)$
$g(10) = \sqrt {(10 - 1)} = \sqrt {9} = 3$; therefore $(10,3)$
Now we simply plot the ordered pairs in the same graph and label each function's graph appropriately.
