1 nickel=$0.05 1 quarter=$0.25 let the number of quarters be x, the number of nickels will be 3+x thus: 0.05(3+x)+0.25x=1.95 0.05x+0.15+0.25x=1.95 0.30x=1.8 x=6 thus the number of quarters is 6 the number of nickels=6+3=9
The rules for linear transformations are that g(x) = a·f(b·(x-c)) +d stretches the graph vertically by a factor of "a" (before the shift) compresses the graph horizontally by a factor of "b" (before the shift) shifts it to the right by amount "c" shifts it up by amount "d".
Your equation has b=1/3, so the graph is compressed by a factor of 1/3, which is equivalent to a stretch by a factor of 3.
The appropriate choice of description is ... b) the graph of g(x) is horizontally stretched by a factor of 3