Transformations
Rules
Example
If the parent function is f(x) = x2, how does the graph of the function
f(x) = (x - 3)2 + 4 compare?
Step 1. How does the graph move right or left?
The number inside the parentheses is -3, therefore the graph moves right 3.
Step 2. How does the graph move up or down?
The number outside the parentheses is + 4, therefore the graph moves up 4.
Step 3. What does the new graph look like?
*Note: Other even polynomials will have transformations similar to those of quadratic functions but with some differences.