The diagram shows a sketch of the curve y = f(x). The point B(0, 0) lies on the curve and the point A(3, 4) is a maximum point. The line y = 2 is an asymptote. Sketch the following and in each case give the coordinates of the new positions of A and B and state the equation of the asymptote:

a. f(2x) 

b. 1/2 f(x) 

c. f(x) − 2

d. f(x + 3) 

e. f(x − 3) 

f. f(x) + 1

Transcribed Image Text:

YA B A (3, 4) y = 2 X