Transforming quadratics
If you multiply x2 by a number with absolute value greater than 1, the graph will get narrower. If you multiply x2 by a fraction (between ­1 and 1), the graph gets wider.
If you put a negative as the coefficient of x2, the graph flips.
If you add a number (positive c) then the graph will move up. If you subtract a number (a negative c) then the graph moves down.
If you add a positive number to x before squaring it, the graph moves to the left.
If you add a negative number to x before squaring it, the graph moves to the right. Examples: Transforming quadratic equations
Describe how each graph is related to the function f(x) = x2 .
1. g(x) = 10 + x2
3. p(x) = 4 ­ 3x2
2. h(x) = ­.2 + x2