The curve y = f(x) passes through the origin and has horizontal asymptote y = 2 and vertical asymptote x = 1, as shown in the diagram. Sketch the following graphs. Give the equations of any asymptotes and give the coordinates of intersections with the axes after each transformation.

a. f(x) + 2 

b. f(x + 1) 

c. 2f(x)

d. f(x) − 2 

e. f(2x) 

f. f(1/2x)

g. 1/2f(x) 

h. −f(x)

Transcribed Image Text:

y = 2 y 0 x = 1 X