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Days 34 1.1 Graph Standard Form.notebook September 09, 2016 Warm up: Describe the graphs including the domain/ range: 1) f(x): 1/4(x 3) 2 4 2) f(x): 2(x + 4) 2 +3 Standard (Quadratic) Form y = ax 2 + bx + c A. Identify characteristics 1.1 Quadratic Functions in Standard Form

1.1 Quadratic Functions in Standard Form + bx + c A ... 9...Characteristics of the graph of y For Your Notebook ax2 + bx + c ax2 bx v c: The graph opens up if a > O and opens down

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Page 1: 1.1 Quadratic Functions in Standard Form + bx + c A ... 9...Characteristics of the graph of y For Your Notebook ax2 + bx + c ax2 bx v c: The graph opens up if a > O and opens down

Days 3­4 1.1 Graph Standard Form.notebook September 09, 2016

Warm up: 

Describe the graphs including the domain/range:

1) f(x): ­1/4(x ­ 3)2 ­ 4

2) f(x): 2(x + 4)2 + 3

 

Standard (Quadratic) Form y = ax 2 + bx + c

A. Identify characteristics

1.1 Quadratic Functions in Standard Form

Page 2: 1.1 Quadratic Functions in Standard Form + bx + c A ... 9...Characteristics of the graph of y For Your Notebook ax2 + bx + c ax2 bx v c: The graph opens up if a > O and opens down

Days 3­4 1.1 Graph Standard Form.notebook September 09, 2016

Example: f(x) = -x2 - 2x + 1

Determine: a) whether the graph opens up or down b) the axis of symmetry c) the vertex d) the y-intercept

Example 3: f(x) = 2x2 - 8x + 6pg. 4 1. Determine if the graph

opens up or down.2. Find the axis of symmetry.3. Find the vertex and plot.4. Find the y-intercept and plot.5. Reflect the y-intercept over the axis of symmetry.6. Connect the points with a smooth curve.

B. Graph Standard Form

Page 3: 1.1 Quadratic Functions in Standard Form + bx + c A ... 9...Characteristics of the graph of y For Your Notebook ax2 + bx + c ax2 bx v c: The graph opens up if a > O and opens down

Days 3­4 1.1 Graph Standard Form.notebook September 09, 2016

GRAPH: f(x) = (1/2)x2 + 2x - 6