Question 1189963
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y=2(1/2)^(x+6) -7


state transformations, then graph the parent function and transformed functions, 
clearly plotting the KEY points, also draw and label the asymptotes
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<pre>
The parent function is  y = {{{(1/2)^x}}}.


The transformations are 


    1)  first, we shift the parent function 6 units to the left;

    2)  then we stretch y-axis with the coefficient 2;

    3)  finally, we shift the function's plot 7 units down vertically.


To make plot, use your graphing calculator.


You also can use free of charge plotting tool at this web-site www.desmos.com .


You should do sequentially these plots


    (1)  y = {{{(1/2)^x}}}      (parent function).


    (2)  y = {{{(1/2)^(x+6)}}};


    (3)  y = {{{2*(1/2)^(x+6)}}};


    (4)  y = {{{2*(1/2)^(x+6) -7}}}.


Using plotting tool  www.desmos.com,  you may have all these plots in one screen.


Now go to web-site  www.desmos.com and get there the plotting tool.


After that, print formula for function (1) in the first line: you will see the plot of the first function immediately.


After that, print formula for function (2) in the second line: you will see the plot of the second function immediately.


After that . . . . and so on . . . to the end . . . 
</pre>


Do you notice that I'm running your hand over the keyboard?