1. Homework Review: Sect 9.1 # 28 – 33
Y – int
Axis of Sym
Vertex
Opens
Min/Max
Domain
Range 28
(0,3)
x = – 3
(– 3,– 6) Up
Min
All Reals
y ≥ – 6 29
(0,1)
x = 0
Down
Max
y ≤ 1 30
(0,4)
x = – 1
(– 1, 5)
y ≤ 5 31
x = 1
(1,1)
y ≥ 1 32
(0,-4)
(0, – 4)
y ≥ – 4 33
(0,0)
y ≤ 0

2. SECTION 9.1 Graphing Quadratic Functions (Day 1)
graph quadratic functions.
find and interpret the max & min of a quad.
SWBAT:

3. Definitions: Quadratic Function: An equation with a degree of 2.
Standard Form:
y = ax2 + bx + c
Parabola:
A quadratic graph that has a U shape
Vertex:
The lowest or highest point of the graph
Axis of Symmetry:
The line passing through the vertex that divides thee parabola in half

4. Minimum & Maximum Domain: all real numbers or |R
Range: minimum: y > vertex y
maximum: y < vertex y

5. Steps to Graphing a Quadratic
1) Equation of the Axis of Symmetry: (x = –b / 2a)
2) Vertex:
Use your x value from the axis of symmetry to substitute into the equation to find the y – value.
Write the coordinates of the vertex (x , y)
3) y – intercept (substitute x = 0 and solve for y) (0,y)
Table of Value
Create a table of 7 points with the middle point being the vertex.
5) Draw a smooth Curve using your points and the x and y intercepts
6) Determine if the Quadratic:
Opens up, vertex is minimum
Opens down, vertex is maximum
7) Determine:
Domain: Always “All Real’s”
Range: Look at y values

6. Ex 1: Graph f(x) = x2 – 4x +4
Standard Form: ___________ y-int:_____ x-int:____
Vertex: _____ a =___ b =___ c = ___
AOS: _____ Domain:_____ Range:_____ x
Work y

7. Ex 2: Graph f(x) = -2x2
Standard Form: ___________ y-int:_____ x-int:____
Vertex: _____ a =___ b =___ c = ___
AOS: _____ Domain:_____ Range:_____ x
Work y

8. HOMEWORK
Graphing Worksheet