1. Lesson Seven: Key Features of Linear and Quadratic Relationships
MFM 2P
Lesson Seven: Key Features of Linear and Quadratic Relationships
Learning Goals:
I can tell the difference between between linear and quadratic graphs
I can label graphs representing linear and quadratic relationships
2P Currie Unit 1: Key Features

2. 2P Currie Unit 1: Key Features

3. Which are linear relations? Which are quadratic relations?
2P Currie Unit 1: Key Features

4. Which represents a linear relationship
Which represents a linear relationship? Which represents a quadratic relationship? x y
First
Differences -3 16
Second Differences -2 6 -1 1 2 3 x y
First
Differences -3 10
Second Differences -2 8 -1 6 4 1 2 3
½ class do one. The other half do the other. Then share
2P Currie Unit 1: Key Features

5. Lesson Seven: Key Features of Linear and Quadratic Relationships
Terminology
Definition
How Do I Label It?
Graph A
Graph B
Vertex
The maximum or minimum point on the graph. It is the point where the graph changes direction.
(x,y)
Axis of symmetry
Optimal Value (Min/Max value)
x-intercepts
(AKA Zeros)
y-intercept
Opening and Step Pattern
2P Currie Unit 1: Key Features

6. Graph A Graph B Terminology Definition Label Graph A Graph B Vertex
The maximum or minimum point on the graph. It is the point where the graph changes direction.
(x,y)
Graph A
Graph B
2P Currie Unit 1: Key Features

7. Graph A Graph B Terminology Definition Label Graph A Graph B
Axis of Symmetry
A dotted vertical line that is drawn through the vertex (middle) of the parabola
Graph A
Graph B
2P Currie Unit 1: Key Features

8. Graph A Graph B Terminology Definition Label Graph A Graph B
Optimal Value
(Min/Max Value)
T he highest (max) y value or the lowest (min)
Graph A
Graph B
2P Currie Unit 1: Key Features

9. Graph A Graph B Terminology Definition Label Graph A Graph B
X-Intercepts
(AKA Zeros)
Where the parabola crosses the x-axis.
Graph A
Graph B
2P Currie Unit 1: Key Features

10. Graph A Graph B (0,#) Terminology Definition Label Graph A Graph B
Y-Intercept
Where the parabola crosses the y-axis.
(0,#)
Graph A
Graph B
2P Currie Unit 1: Key Features

11. Opening and Step Pattern
Terminology
Definition
Label
Graph A
Graph B
Opening and Step Pattern
Opening – The direction that the parabola opens
Step Pattern – The pattern that the y-value increases from the vertex
up or down
#, #, #
Graph A
Graph B
2P Currie Unit 1: Key Features

12. Lesson Seven: Key Features of Linear and Quadratic Relationships
MFM 2P
Lesson Seven: Key Features of Linear and Quadratic Relationships OR
2P Currie Unit 1: Key Features

13. MFM 2P Words Definition Rise Run Slope Independent Variable
Run
Slope
Independent Variable
Dependent Variable
Initial Value
Rate of Change
The vertical distance between two points
The horizontal distance between two points
The variable whose values we choose. The “x” values.
The variable whose values we calculate. The “y” values.
The starting amount. The value of the dependent variable when the independent variable is zero. The value of “y” when “x” = 0.
Same as slope.
2P Currie Unit 1: Key Features