Horizontal Shifts of Exponential Functions
Learning Objective
I can describe how changing the value of h in an exponential function affects its horizontal translation.
Key Concepts
The parent function of an exponential function is y = B^x, where B is the base.
If the base is greater than 1, it is an exponential growth, and if the base is between 0 and 1, it is an exponential decay.
In the equation y = a * B^(x-h) + k, the 'h' value shifts the graph left or right, and the 'k' value shifts the graph up or down.
Practice Questions
This lesson includes 6 practice questions to reinforce learning.
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1. In the general form of an exponential function with transformations, y = a * B^(x - h) + k, what does the 'h' represent?
2. The exponential function y = B^(x + 3) is shifted to the left or right? By how many units?
3. Describe how the graph of y = 5^(x) would change if it were transformed to y = 5^(x - 2).
...and 3 more questions
Educational Video
Graphing Exponential Functions with Transformations
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