The exponential function is .
(a)
\Property : shifts the graph of
to a distance of
units downwards.
Graph :
\Graph the function .
Shift the graph of by
units downwards.
Observe the graph ;
\The graph of the function is shift
units downwards.
Hence the graph of the function shift
units downwards is
.
(b)
\Property : shifts the graph of
to a distance of
units right.
Graph :
\Graph the function .
Shift the graph of by
units right.
Observe the graph ;
\The graph of the function is shift
units right.
Hence the graph of the function shift
units right is
.
(c)
\Property : reflects the graph of
about
axis.
Graph :
\Graph the function .
Reflect the graph of about axis.
Observe the graph ;
\The graph of the function is refected about
axis.
Hence the graph of the function is refected about
axis is
.
(d)
\Property : reflects the graph of
about
axis.
Graph :
\Graph the function .
Reflect the graph of about axis.
Observe the graph ;
\The graph of the function is refected about
axis.
Hence the graph of the function is refected about
axis is
.
(e)
\Property : ,first reflects the graph of
about
axis and then refects about
axis.
Graph :
\Graph the function .
Reflect the graph of about axis and then refect about
axis..
Observe the graph ;
\The graph of the function is refected about
axis and
axis.
Hence the graph of the function is refected about
axis is
(a) .
(b) .
(c) .
(d) .
(e) .