Horizontal Shifts of Exponential Functions
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Objective
I can describe how changing the value of h in an exponential function affects its horizontal translation.
Part 1 of 4
Warm-up video
Mario's Math Tutoring · 12:03
We don't generate video — this one is by Mario's Math Tutoring on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
The parent function of an exponential function is y = B^x, where B is the base.
- 2
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.
- 3
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.
Part 3 of 4
Practice
6 questions
In the general form of an exponential function with transformations, y = a * B^(x - h) + k, what does the 'h' represent?
The exponential function y = B^(x + 3) is shifted to the left or right? By how many units?
Part 4 of 4
Exit ticket
Quick comprehension check
“The exponential function y = 5ˣ is transformed to y = 5⁽ˣ⁻ʰ⁾. Describe the effect on the graph if h = 3.”
Sample answer included in the free materials
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