By transforming the graph of y = 3^x , sketch the graph of y = 2 - 3^-x.

Question

By transforming the graph of y = 3^x , sketch the graph of y = 2 − 3^-x.

 

Give the y-intercept, and the equation of the horizontal asymptote.

 

 

Answer 1

First --

 

Reflection across y axis.

 

Next--

 

Reflection across x axis.

 

Next --

 

Shift up by 2

 

Y intercept =2

 

Horizontal asymptote  y = 2