Transformations are simply movement of a parent function. We can look at an equation and ask: "What has been done to the parent function?" Using the vertex form of the quadratic equation will help us identify the movement more easily.
Vertex Form
The vertex form of a quadratic function is written as:
f(x) = a(x - h)\(\small\mathsf{ ^2 }\) + k.
The vertex of the function is at (h,k) and the coefficient a tells us which direction the parabola faces and how skinny or fat it will be.
If you move the vertex, you move the whole parabola along with it. If you change the coefficient a, you change the shape of the parabola.
