Function Transformations
Figure 1
shows the graph of
f
(
x
)
=
x
\displaystyle {f{{\left({x}\right)}}}=\sqrt{{{x}}}
f
(
x
)
=
x
.
Figure 2
shows the graphs of 4 transformations of
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
.
Match each of the four transformations with the correct graph
-
a
b
c
d
x
+
2
\displaystyle \sqrt{{{x}}}+{2}
x
+
2
-
a
b
c
d
x
+
2
\displaystyle \sqrt{{{x}+{2}}}
x
+
2
-
a
b
c
d
x
−
2
\displaystyle \sqrt{{{x}}}-{2}
x
−
2
-
a
b
c
d
x
−
2
\displaystyle \sqrt{{{x}-{2}}}
x
−
2
k
(
x
)
\displaystyle {k}{\left({x}\right)}
k
(
x
)
g
(
x
)
\displaystyle {g{{\left({x}\right)}}}
g
(
x
)
h
(
x
)
\displaystyle {h}{\left({x}\right)}
h
(
x
)
j
(
x
)
\displaystyle {j}{\left({x}\right)}
j
(
x
)
Figure 1
f
(
x
)
=
x
\displaystyle {f{{\left({x}\right)}}}=\sqrt{{{x}}}
f
(
x
)
=
x
Figure 2
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