Transformations of the Quadratic Parent Function

Graph transformations of the quadratic parent functions.

Identify and distinguish among transformations.

Compare functions represented in different ways.

Parent functions are the simplest form of a given family of functions.

The graph of a quadratic function is a curve called a parabola.

The vertex of a parabola is the point where the parabola crosses its axis. 

The axis of symmetry of a parabola is a line about which the parabola is symmetrical

A reflection of a graph is the mirror image of the graph over a line.

Step 1: Identify the vertex (h,k)

Step 2: Create a table of values for x (I like to choose 2 numbers greater than and 2 numbers less than the vertex).

Step 3: Plot your points

Step 4: Connect your points with a smooth curve

Step 1: Identify the vertex

Step 2: Create a table of values

Step 3: Plot your points

Step 4: Plot your points with a smooth curve