Posted by Juliet on Friday, March 19, 2010 at 10:50pm.
Describe how the graph of y=f(2x+6)+7 can be obtained from the graph of y=f(x). I am not understanding this transformation unit at all.

Math 30  drwls, Saturday, March 20, 2010 at 9:12am
Since you do not say what the function
f(x) is, I cannot tell you the specific formula for y = f(2x+6) +7.
Start with the graph of f(x). For each of a series of values of x, compute 2x +6, read off the corresponding y = f(2x + 6); then add 7 to that. Replot as as f'(x) = f(2x+6) +7. Then connect the dots. I suspect you will end up with a new curve that is translated (by the +6 and +7 terms), "squashed" (by the "2") and inverted (by the minus sign), compared to the original f(x) curve.
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