- Sketch a quadratic function with multiple transformations.
- Write an equation from a graph of a quadratic function.
Today we did a formative quiz on function notation. I will get these back to you as soon as I mark them.
Next I discussed the order in which we should perform transformations. When you have multiple transformations, you should state any Stretches first, then Reflections then Translations. Remember SRT.
I then worked out some examples.
Next I discussed how to write the equation of a quadratic function from looking at the graph.
Example Write the equation for the following quadratic function.
Solution First we look at the the vertex (3, 0). That means we have h = 3 and k =0. Next we count one unit over from the vertex and we see that the graph drops down by 2. That means a = -2. Thus the equation of the graph is:
f(x) = -2(x–3)²
HINT: for homework questions you can check if you got it right by using a graphing calculator. Here is a link to online graphing calculator.
Try entering the above equation and see if you get the same graph (make sure you use the * button between the 2 and the bracket to multiply.)
Homework
P. 56 #1 - 11
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