This document provides instructions for graphing quadratic functions by finding the vertex and axis of symmetry. It gives examples of graphing functions like f(x)=3x^2-6x+1 and finding that the vertex is the maximum or minimum point. It also covers graphing using transformations, with examples of shifting and stretching quadratic functions and finding corresponding vertices and axes of symmetry.

1. 5.1 graphing quad func.notebook October 29, 2012
Graph.
f(x) = 3x2 ­ 6x + 1
To find the vertex. x = ­b
2a
Vertex: max or min
Axis of Symmetry:
1

2. 5.1 graphing quad func.notebook October 29, 2012
f(x) = 3 + 4x ­ x2
Vertex: max or min
Axis of Symmetry:
2

3. 5.1 graphing quad func.notebook October 29, 2012
Graph using transformations
1. f(x) = x2­1
2. f(x) = (x ­ 1)2 + 3
3. f(x) = ­2(x ­ 1)2 + 4
Graph. Find the vertex. Tell if it is a max or min. Find other
points. Label the axis of symmetry.
P 226 # 33 ­ 40
3