Identify the function in the form y = ab^x or y = a(1 + r)^x
Determine the y-intercept by substituting x = 0
Find several additional points by choosing x-values such as -2, -1, 1, 2
Evaluate y for each chosen x-value
Plot all points on the coordinate plane
Draw a smooth curve through the points
Show the horizontal asymptote, usually y = 0 unless shifted
Check whether the graph increases or decreases
Reflect the graph if the base or coefficient is negative
Apply any vertical shift, horizontal shift, or stretch if present