Graph+Quadratic+Functions+-+Exploring+Shifts

__**Graphing Quadratic Functions & Exploring Shifts**__ 1. Any number not in parentheses indicates that the graph moves up or down. Positive numbers go up, negatives go down. ex. y= x^2 + 4 The graph would move up 4 on the y-axis because there are no parentheses. 2. A number inside the parentheses after x^2 indicates that the graph moves left or right. Negative numbers move right, positives move left ( opposites). ex. y= (x^2 - 3) The graph moved right on the graph because it is in parentheses, and the "-3" changes to plus/positive 3 to become opposite. 3. If you make the equation negative, the graph will flip, making the shape open downwards. ex. y= - x^2 This would cause the graph to simply flip upside down from the original x^2 position. 4. You can combine your knowledge of all the rules above to solve this last example. ex. y= - (x^2 + 2) For this problem, the graph flips because its negative and goes to negative 2 on the x-axis because the positive 2 in the parentheses indicates that the graph moves left. ** **Here is the link to our tutorial: Enjoy! - Anna & DiBella**
 * **The basic graph that one would use to compare others to is x^2.**
 * __Rules:__

http://www.pascack.k12.nj.us/7042081822151940/lib/7042081822151940/anna_and_dibella.mov