TransformationFunction notation for the parent function of a quadratic is f(x) = x2. A function transformation takes the basic function f(x) and then "transforms" it, so that the graph will become more wide or narrow, reflect across the x-axis, or translate up, down, left or right.
To translate the graph of a quadratic function, you can use the vertex form, y = a(x - h) 2 + k.
Example The equation, , represents what translation of the parent function, ?
Since the h -value is negative, the translation will be 3 units to the right. Since the k -value is positive, the translation will be up 4 units.