1. Warm up Graph the Function using a table Use x values -1,0,1,2,3
x2 - 2x + 3

2. 9.1 Graphing Quadratic Functions

3. Vocab Quadratic Function – Highest power of x is 2 (x2)
Standard Form – ax2 + bx + c, a ≠ 0
Parabola – the U shaped graph of a quadratic
Axis of symmetry – A line down the middle of the parabola
Vertex – The bottom/top of the graph

4. Minimum – when a is positive (a>0) the parabola opens upward, the vertex is the minimum.
Maximum – when a is negative (a<0) the parabola opens down, the vertex is a maximum

5. Example 1 Since the graph does not go below y = -7,
The range is {y|y ≥ -7}
The Domain is all real numbers.

6. Example 2 Vertex: (-1,0) minimum Axis of symmetry: x = -1
Y-intercept: (0,1)
Vertex: (2,3) maximum
Axis of symmetry: x = 2
Y-intercept: (0,-1)

7. Example 3 Step 1: find the axis of symmetry
Step 2: use the axis of symmetry to find the y value of the vertex

8. Example 4
Domain (x’s) is all real numbers
Range is {y|y<8)

9. Example 5

10. Worksheet