Transformations of Functions--Quiz
Problem 1. Below you have the graph of the function
The graph of y=g(x) :
Find a possible formula for each of the three graphs (a), (b), (c) given below.
The graph (a):
The graph (b):
The graph (c):
Answer: (a) is the graph of y=-g(x), that is, of the function . Indeed, the graph (a) is a reflection of the graph y=g(x) about the x-axis.
(b) is the horizontal translation of y=g(x) two units to the right. Hence, the formula is y=g(x-2); that is:
(c) is a vertical stretch of the graph y=g(x) by the factor of 2. Hence the formula is y=2g(x),
MTH 111 Quizzes, B. Kaskosz, L.Pakula, 2001.