MATH 112 Lecture 8: Transformations and Review
2 Nov 2017
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We transform the graph of a known, or base function by adding/subtracting, multiplying/dividing a constant in various ways to the function. Let"s explore the relation between transformations of that function by using our graphing calculators. And remember: things are backwards inside the function. : vertical expansion, because 3 is outside the function and 3 is bigger than 1. If multiply by fraction less than one, that will be contraction, eg : : two information : expansion and reflection because 3 is bigger than 1 and a minus sign before 2. : horizontal contraction by 3, because 3 is inside function and 3 is bigger than 1, as said before things are backwards inside the function. First let"s think about if f(x)= x , x +c is vertical translation. We only need to know if c>0, it going up. Similarly, f(x+c) is horizontal translation, moving left if c >0, moving right if.
