Question 297423
Starting with the graph of f(x)=6<sup>x</sup> , write the equation 
of the graph that results from 

shifting  7 units upward. 
<pre><font size = 4 color = "indigo"><b>
To shift upward 7 units you add 7 to the right side of f(x), and 
name the new function, say, g(x)

g(x) = 6<sup>x</sup>+7
</pre></font></b>
shifting 7 units to the left
<pre><font size = 4 color = "indigo"><b>
To shift left 7 units you replace x by x+7 in the right side of f(x),
and name the new function, say, h(x):

h(x) = 6<sup>x+7</sup>
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shifting right 8 units, then reflecting about the y-axis.
<pre><font size = 4 color = "indigo"><b>
Do these one at a time. To shift right 8 units replace x by x-8
in the right side of f(x), and name the new function, say, k(x):

k(x) = 6<sup>x-8</sup>

Then to reflect about the y-axis, replace x by -x and rename
the new function, say, m(x):

m(x) = 6<sup>-x-8</sup>

Edwin</pre>