Graphing Exponential Functions with Transformations

Learn how to graph exponential functions with transformations in this video math tutorial by Mario's Math Tutoring. We discuss 3 formats of exponential functions: y=b^x, y=ab^x, and y=ab^(x-h)+k we also go through 5 example problems to help you master this concept. We discuss the domain, the range, the horizontal asymptote and how to get a good graph.
Related Videos to Help You Succeed!:
Graphing exponential functions (another video I did here)
• Graphing Exponential F...
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I'm a bit confused,why is the graph touching the vertical asymptote? 🤔

[@MariosMathTutoring]

There isn’t a vertical asymptote with these exponential graphs…just a horizontal one.

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Thank you so much!!!

[@trisha6594]

I did a few practice questions involving transformations from my textbook. In these questions, we were given details about the transformations, and we were required to come up with an equation. I noticed that the order in which they give us information about the transformation of the graph, matters. I was just wondering, why does the sequence of transformations matter? Thank you so much!!

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Mario thank you so much. This lesson was very well explained, and I like your method of marking the shift on the graph first and then using it as a referance point to make a new graph. Wish you all the best!

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Glad you liked the video!

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How do we figure out the transformation given a relation of an exponential function on graph but no table of values nor equation given?

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y = Cb^(t/h) where we are given C=100%, b=1/2, and h = 29 years. Find y when t=60 years: y = 100%•(1/2)^(60/29) is approximately 23.83%

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@@HeyKevinYT So the answer is 23.83% of strontium 90 will remain after 60 years??

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