Question

graph the given functions, f and g, in the same rectangular coordinate system. use the integer values of x given to the right of the functions to obtain ordered pairs. describe how the graph of g is related to the graph of f.

f(x) = \sqrt{x}

g(x) = \sqrt{x + 3}

for f(x):

x	f(x)
1	1
4	2
9	3

for g(x):

x	g(x)
-2	\square
1	\square
6	\square

(simplify your answers.)

fill in the appropriate values for f(x) and g(x).

Explanation:

Step1: Calculate \( g(x) \) for \( x = -3 \)

Given \( g(x)=\sqrt{x + 3} \), substitute \( x=-3 \):
\( g(-3)=\sqrt{-3 + 3}=\sqrt{0}=0 \)

Step2: Calculate \( g(x) \) for \( x = -2 \)

Substitute \( x = -2 \) into \( g(x) \):
\( g(-2)=\sqrt{-2 + 3}=\sqrt{1}=1 \)

Answer:

For \( x=-3 \), \( g(x)=0 \); for \( x=-2 \), \( g(x)=1 \)