SOLUTION: Suppose the graph of f is given and g(x) = {{{ - 6.5 (f (x + 11) - 7 ) }}} All information here: http://i.imgur.com/P3f0ZMk.png Please explain, T

Algebra ->  Functions -> SOLUTION: Suppose the graph of f is given and g(x) = {{{ - 6.5 (f (x + 11) - 7 ) }}} All information here: http://i.imgur.com/P3f0ZMk.png Please explain, T      Log On


   



Question 910398: Suppose the graph of f is given and g(x) = +++-+++++6.5+%28f+%28x+%2B+11%29+++++-+++++7+++%29++++

All information here:
http://i.imgur.com/P3f0ZMk.png
Please explain,
Thank you

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You need to study and learn how to understand how functions are transformed; then you can take and satisfy these questions. These fundamentals should be in your textbook.

g is obtained from f by shifting 11 units to the left, but you must perform the distribution of multiplication over addition to evaluate the vertical shifting. The shift vertically is (-6.5)(-7)=45.5 units UPWARD. Stretching by factor of 6.5 was done to f. How this relates to up&down reflection is unclear because we are not given what is f(x).