Sketching graph Watch
Does this mean that to plot the graph, it would be easier for me to work out few points on the graph and then plot it? The Cartesian equation I’ve got here is from two parametric equations.
For instance, as this equation approaches .
As this equation approaches .
So the curve has two horizontal asymptotes.
What sort of transformation does the graph of y=e^x undergoes to get to y=1/(e^x +2) ? I have plotted both graphs but can’t seem to figure what transformations happened after y=1/e^x.
Draw the line y = 1
The curve "y" you want is such that y*(e^x+2) = 1
e^x+2 = 2 then y = 1/2
e^x+2 = 3 then y = 1/3
e^x+2 = 10 then y = 1/10 ...