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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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The parent function is y = .
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 = (parent function).
(2) y = ;
(3) y = ;
(4) y = .
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 . . .
Do you notice that I'm running your hand over the keyboard?