Exploring Graphical Transformations

Interact with the activity below to answer the following questions. You are going to explore how a function is transformed. We are going to start with the parent function y = [math]x^2[/math]. Notice that it forms a u-shaped curve (called a parabola) that is centered at (0,0). 1. How is a graph affected when a number is added/subtracted to the OUTSIDE of a function? 2. How is a graph affected when a number is added/subtracted to the INSIDE of a function? 3. How is a graph affected when a number is multiplied to the outside of a function? 4. How is the graph affected when a negative is placed on the inside/outside of a function?