Describe how the graph of each function can be obtained from the graph of y = f(x). Make sure you use full sentences to explain the transformation of the new function.

Question

y=3f(x)–2

y=f(x-1)–4

y=f(1⁄2x)+5

Answer 1

y=3f(x)-2

stretch vertically by a factor of 3, and shift down by 2 units

y= f(x-1)-4

shift right, horizontally by 1, shift down by 4

y= f((1/2)x) +5

compress horizontally by a factor of 1/2. shift up by 5