Days 3­4 1.1 Graph Standard Form.notebook
September 09, 2016
Warm Up
State the direction of opening, the axis of
symmetry, and the vertex of each quadratic.
1. y = -2(x + 3)
2
2. y = ¾(x + 7)(x - 1)
2
3. y = 3x + 12x + 19
Warm Up
Homework Answers
HW Graphs
1
Days 3­4 1.1 Graph Standard Form.notebook
September 09, 2016
Homework Answers
HW Graphs
C. Use a Grapher to find the min. or max.
page 8 Find Min/Max with Grapher
2
Days 3­4 1.1 Graph Standard Form.notebook
September 09, 2016
TRY!
page 8 Find Min/Max with Grapher
For each quadratic, state whether it has a
maximum or minimum. Then find it using the
TI-83.
2
1. y = x - 5x - 14
2
2. y = x + 7x + 3
2
3. y = -3x + 6x - 9
2
4. y = -2x + 12x + 13
Find Max/Min with Grapher
3
Days 3­4 1.1 Graph Standard Form.notebook
September 09, 2016
Summary: Graphing Quadratic Functions
Vertex Form
Standard Form
Use an x­y table and 5 points.
y = ax2 + bx + c
Intercept Form
Use vertex and x­y table. Graph y­intercept, if it fits.
Use x­ intercepts and vertex.
Forms of Quadratic Eqns
EXAMPLE 1
2
f(x) = -1/2 (x - 2) + 3
Graph Vertex Form
4
Days 3­4 1.1 Graph Standard Form.notebook
September 09, 2016
EXAMPLE 2
2
y = 3x - 12x + 7
Graph Standard Form
EXAMPLE 3
-1
y = /6 (x - 2)(x + 10)
Graph Intercept Form
5
Days 3­4 1.1 Graph Standard Form.notebook
September 09, 2016
Additional Practice
Graph each quadratic.
2
1. y = (x - 1) + 4
3. y = (x - 4)(x + 2)
2
5. y = x + 4x + 6
7. y = 2x(x - 4)
2
2. y = 2x - 1
2
4. y = - ½ (x + 1) -2
2
6. y = -2x + 16x - 25
Write the equation in standard form.
2
8. y = ( x - 5) + 7
9. y = -4(x -7)(x + 4)
2
10. y = -½(x - 6)
Sep 18­10:26 AM
2
1. y = (x - 1) + 4
3. y = (x - 4)(x + 2)
2
2. y = 2x - 1
2
4. y = -½ (x + 1) -2
Mar 10­6:36 PM
6
Days 3­4 1.1 Graph Standard Form.notebook
2
5. y = x + 4x + 6
September 09, 2016
2
6. y = -2x + 16x - 25
7. y = 2x(x - 4)
Mar 10­6:36 PM
7