### u2c1 graphing quad standard form.notebook

```u2c1 graphing quad standard form.notebook
P
U
ARM
September 09, 2014
Graph 3x­2y=18
W
Domain _______
Range ________
Nov 16­8:16 PM
Unit 2 Concept 1
Objective:
Graph: T­chart, given f (x)= in standard form with domain and range in interval notation.
Sep 5­9:35 AM
1
September 09, 2014
Quadratic function: A function defined by an equation of Standard Form
f(x) = ax 2 + bx + c , where a ≠0
Graph of a Quadratic function: PARABOLA
Title page
f(x)=ax2 + bx + c
opens up or down max (-a) or min (+a)
(look at the value of a)
A.O.S. = x = -b
(axis of symmetry)
2a
Vertex = ( -b , f( -b ) )
2a
2a
Make T-chart to graph
How to graph
2
September 09, 2014
Example
y = 2x2 + 12x + 18
opens _____ max or min
A.O.S. = ________
Vertex = (
,
)
x y
D: _______
R: _______
Examples
Example
y = -x2 +2x + 3
opens _____ max or min
A.O.S. = ________
Vertex = (
,
)
x y
D: _______
R: _______
Examples
3
September 09, 2014
Example
f(x)= x2 - 8x + 15
opens _____ max or min
A.O.S. = ________
Vertex = (
,
)
x y
D: _______
R: _______
Examples
Example
x y
a. f(x)= -x2 + 2x + 8
­3
­9
­2
6
b. f(x)= x2 + 9x + 9
­1
11
c. f(x)= -5x2 - 10x + 6
0
6
1
­9
Which equation matches the table?
d. f(x)= -2x2 - 3x - 2
Examples
4
September 09, 2014
Match the roots to the pictures No roots
One root {2}
Two roots {­2,2}
have no roots?
Roots to picture
TOTD
f(x)= -x2 - 4x + 10
opens _____ max or min
A.O.S. = ________
Vertex = (
,
)
x y
D: _______
R: _______
Examples
5