Transformation

Function notation for the parent function of a quadratic isTo translate the graph of a quadratic function, you can use the vertex form, *y *= *a*(*x *- *h*) ^{2} + *k.*

- The
*h*-value will translate the graph to the right when it is negative and to the left when it is positive. - The
*k*-value will translate the graph up when it is positive and down when it is negative.

**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.