I need this solved: Describe the transformation...

Question

Describe the transformation from the graph f(x)=x to the graph of g(x)=1/3x

Answer 1

f(x) = x

g(x)= (1/3)x is f(x) rotated about the origin, by 45-32 = 13 degrees, clockwise

f(x) is a straight line, y=x, 45 degree diagonal line through the origin

g(x) is a straight line y=x/3, about 32 degrees above the x axis

tan^-1(1/3) = about 32.175 degrees

from 45 to 32 is a 13 degree clockwise rotation, about (0,0)