Adjust the base
Make an exponential {{ s1_targetType }} graph
The base controls whether the function grows or decays.
Equation:
0.1
Base (b)
3.0
{{ s1_b > 1 ? 'Growing (b > 1)' : (s1_b < 1 ? 'Decaying (0 < b < 1)' : 'Constant (b = 1)') }}
Drag to match
Match the equations to their curves
Steeper growth means a larger base. Steeper decay means a smaller base.
Drop here
All matched! Check your answer.
Transform
Match the target graph
Adjust , , and to transform
Target Equation
Your Equation
Multiplier (a)
{{ s3_a }}
Horiz. Shift (h)
{{ s3_h }}
Vert. Shift (k)
{{ s3_k }}
Drag line
Find the asymptote
Drag the dashed line to the horizontal asymptote for
Asymptote
Drag the blue dashed line up or down
Mastered!
You've conquered exponential growth, decay, transformations, and asymptotes.