Investigation 1: Match Exponential Equations and Graphs
Part 1
Drag the a and b sliders to make the following graphs. What could be possible a and b values to make each graph? Make a conclusion for how different values for a affect the graph of an exponential function. Make a conclusion for how different values for b affect the graph of an exponential function.
Part 1
Drag the a and b sliders to make the following graphs. What could be possible a and b values to make each graph? Make a conclusion for how different values for a affect the graph of an exponential function. Make a conclusion for how different values for b affect the graph of an exponential function.
A. B. C. D. E. F.
Part 2
Click on the triangle next to “Part 2.” Drag the sliders for h and k. Make a conclusion for how different values for h affect the graph of an exponential function. Make a conclusion for how different values for k affect the graph of an exponential function.
Challenge
1. Write an equation that is translated right and is a reflection of a decay graph. Check your equation with Desmos. Were you right? If not, which variable(s) do you have to adjust to correct your equation?
2. Sketch a graph of the following equation: \(y=3(4)^{x+1} - 6\). Check your answer using Demos. Where you right? If not, describe your error(s).
Investigation 2: Polygraph Exponentials
Click on the link below and then enter the class code 6z28e or the Class Code provided by your teacher to play the game with a partner.
Investigation 3: Avi & Benita's Repair Shop
Click on the link below and then enter the class code SQWTW or the Class Code provided by your teacher.