SOLUTION: I am confused how to solve this: Let f(x) = {{{ (x^2-2x + 1)/(20) }}} * The graph of function g is created by * stretching the graph vertically by a factor of 40, * then sh

Algebra ->  Functions -> SOLUTION: I am confused how to solve this: Let f(x) = {{{ (x^2-2x + 1)/(20) }}} * The graph of function g is created by * stretching the graph vertically by a factor of 40, * then sh      Log On


   

Question 933031: I am confused how to solve this:
Let f(x) = ++%28x%5E2-2x+%2B+1%29%2F%2820%29++
* The graph of function g is created by
* stretching the graph vertically by a factor of 40,
* then shifting the graph of f down 6 units,
* and finally shifting the graph right 5 units .
Find the function g.
g(x) =
I sadly don't understand any of this, what are they asking me to do exactly?
Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"stretching the graph vertically by a factor of 40" means we go from f%28x%29 to 40%2Af%28x%29


"then shifting the graph of f down 6 units" has us tacking on a "-6" like this: 40%2Af%28x%29-6


"and finally shifting the graph right 5 units " tells us to replace 'x' with 'x-5' to get 40%2Af%28x-5%29-6


Therefore, g%28x%29=40%2Af%28x-5%29-6


This isn't the answer but it will lead you to it. Hopefully this helps point you in the right direction. If not, then let me know. Thanks.

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