SOLUTION: 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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-> SOLUTION: 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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Question 1189963: 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
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?
A note to add to the response from the other tutor....
The order of transformations can be determined by looking at how you would evaluate the function for a given value of x, using PEMDAS order of operations.
(1) P (parentheses): add 6 to x (horizontal shift 6 to the left)
(2) M (multiplication): multiply by 2 (vertical stretch by a factor of 2)
(3) S (subtraction): subtract 7 (vertical shift of -7)
