Today we discussed transformations. The transformations that shift a graph left, right, up or down are called translations. Translations don't change the shape of the graph, they just move the graph in one of the four directions.
We then worked through this handout that looked at how the domain and range change when you translate a function.
Translations of Functions
Here is a snippet of how you would fill out the table:
Then we discussed how the domain and range would change.
Here is another snap shot of what we did in class:
And finally, we did some examples of how to sketch transformations starting from the base graph. In these images, red is the base graph and black is the transformed graph.
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| Remember, there is an asymptote in the graph of f(x) = 1/x. When you translate the graph, the asymptote moves as well. Normally we use a dotted line to denote the asymptote. |
For homework please complete the rest of the handout.
Graphing tips
To check if you graphed correctly, you can use technology to check your answers. Here are a few suggestions of free graphing apps that are useful:
- iPhone, iPod, iPad users, try downloading Quick Graph.
- Android users, try downloading Algeo Graphing Calculator.
- From any computer connected to the internet, you can try using this Online Graphing Calculator.
Sorry, I've never used a Blackberry before, but I'm sure it has it's own graphing calculator app.
You CANNOT use these apps on a test however. Plus, I will always show you how to graph by hand. These apps are just suggestions to help check your answers and to help you better understand the concepts.
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