1. Reciprocal Function Absolute Value Function (y = |x|)
Algebra 2/Trigonometry
Parent Graph Exploration
Directions: Your group of 2-3 will be responsible for teaching the class about 1 of 10 parent graphs. It will be essential that you know the shapes and characteristics of all of these parent graphs for the rest of our course.
Steps:
1) Create a table of values and make a graph of your equation by hand.
2) Verify that you have graphed it correctly using a graphing calculator / Desmos
3) Determine the domain and range of your graph.
4) Comment on any other interesting characteristics (for example – Is it a Function? Is the inverse a Function? Is it a one-to-one function? Are there minimums and maximums?; Identify the intercepts)
5) Have Miss Vavala verify all of your findings.
6) Create a small poster of your parent graph.
THINGS TO INCLUDE ON THE POSTER:
-Name of the graph
-Equation of graph
-Picture of graph
-Domain and Range
-Any interesting characteristics.
Please Note: The poster for EACH PARENT GRAPH will be hung in the room. Please make all information large enough to read from across the room. Also make your posters neat, colorful, creative, etc!
7) Be prepared to present your poster to the class and explain the characteristics of your graph.
Reciprocal Function
Algebra 2/Trigonometry
Parent Graph Exploration
Directions: Your group of 2-3 will be responsible for teaching the class about 1 of 10 parent graphs. It will be essential that you know the shapes and characteristics of all of these parent graphs for the rest of our course.
Steps:
1) Create a table of values and make a graph of your equation by hand.
2) Verify that you have graphed it correctly using a graphing calculator / Desmos.
3) Determine the domain and range of your graph.
4) Comment on any other interesting characteristics (for example – Is it a Function? Is the inverse a Function? Is it a one-to-one function? Are there minimums and maximums?; Identify the intercepts)
5) Have Miss Vavala verify all of your findings.
6) Create a small poster of your parent graph.
THINGS TO INCLUDE ON THE POSTER:
-Name of the graph
-Equation of graph
-Picture of graph
-Domain and Range
-Any interesting characteristics.
Please Note: The poster for EACH PARENT GRAPH will be hung in the room. Please make all information large enough to read from across the room. Also make your posters neat, colorful, creative, etc!
7) Be prepared to present your poster to the class and explain the characteristics of your graph.
Absolute Value Function (y = |x|)

2. Cubic Function (y = x3) Cube Root Function Algebra 2/Trigonometry
Parent Graph Exploration
Directions: Your group of 2-3 will be responsible for teaching the class about 1 of 10 parent graphs. It will be essential that you know the shapes and characteristics of all of these parent graphs for the rest of our course.
Steps:
1) Create a table of values and make a graph of your equation by hand .
2) Verify that you have graphed it correctly using a graphing calculator / Desmos.
3) Determine the domain and range of your graph.
4) Comment on any other interesting characteristics (for example – Is it a Function? Is the inverse a Function? Is it a one-to-one function? Are there minimums and maximums?; Identify the intercepts)
5) Have Miss Vavala verify all of your findings.
6) Create a small poster of your parent graph.
THINGS TO INCLUDE ON THE POSTER:
-Name of the graph
-Equation of graph
-Picture of graph
-Domain and Range
-Any interesting characteristics.
Please Note: The poster for EACH PARENT GRAPH will be hung in the room. Please make all information large enough to read from across the room. Also make your posters neat, colorful, creative, etc!
7) Be prepared to present your poster to the class and explain the characteristics of your graph.
Cubic Function (y = x3)
Algebra 2/Trigonometry
Parent Graph Exploration
Directions: Your group of 2-3 will be responsible for teaching the class about 1 of 10 parent graphs. It will be essential that you know the shapes and characteristics of all of these parent graphs for the rest of our course.
Steps:
1) Create a table of values and make a graph of your equation by hand.
2) Verify that you have graphed it correctly using a graphing calculator / Desmos.
3) Determine the domain and range of your graph.
4) Comment on any other interesting characteristics (for example – Is it a Function? Is the inverse a Function? Is it a one-to-one function? Are there minimums and maximums?; Identify the intercepts)
5) Have Miss Vavala verify all of your findings.
6) Create a small poster of your parent graph.
THINGS TO INCLUDE ON THE POSTER:
-Name of the graph
-Equation of graph
-Picture of graph
-Domain and Range
-Any interesting characteristics.
Please Note: The poster for EACH PARENT GRAPH will be hung in the room. Please make all information large enough to read from across the room. Also make your posters neat, colorful, creative, etc!
7) Be prepared to present your poster to the class and explain the characteristics of your graph.
Cube Root Function

3. Square Root Function Quadratic Function (y = x2)
Algebra 2/Trigonometry
Parent Graph Exploration
Directions: Your group of 2-3 will be responsible for teaching the class about 1 of 10 parent graphs. It will be essential that you know the shapes and characteristics of all of these parent graphs for the rest of our course.
Steps:
1) Create a table of values and make a graph of your equation by hand.
2) Verify that you have graphed it correctly using a graphing calculator / Desmos.
3) Determine the domain and range of your graph.
4) Comment on any other interesting characteristics (for example – Is it a Function? Is the inverse a Function? Is it a one-to-one function? Are there minimums and maximums?; Identify the intercepts)
5) Have Miss Vavala verify all of your findings.
6) Create a small poster of your parent graph.
THINGS TO INCLUDE ON THE POSTER:
-Name of the graph
-Equation of graph
-Picture of graph
-Domain and Range
-Any interesting characteristics.
Please Note: The poster for EACH PARENT GRAPH will be hung in the room. Please make all information large enough to read from across the room. Also make your posters neat, colorful, creative, etc!
7) Be prepared to present your poster to the class and explain the characteristics of your graph.
Quadratic Function (y = x2)
Algebra 2/Trigonometry
Parent Graph Exploration
Directions: Your group of 2-3 will be responsible for teaching the class about 1 of 10 parent graphs. It will be essential that you know the shapes and characteristics of all of these parent graphs for the rest of our course.
Steps:
1) Create a table of values and make a graph of your equation by hand.
2) Verify that you have graphed it correctly using a graphing calculator / Desmos.
3) Determine the domain and range of your graph.
4) Comment on any other interesting characteristics (for example – Is it a Function? Is the inverse a Function? Is it a one-to-one function? Are there minimums and maximums?; Identify the intercepts)
5) Have Miss Vavala verify all of your findings.
6) Create a small poster of your parent graph.
THINGS TO INCLUDE ON THE POSTER:
-Name of the graph
-Equation of graph
-Picture of graph
-Domain and Range
-Any interesting characteristics.
Please Note: The poster for EACH PARENT GRAPH will be hung in the room. Please make all information large enough to read from across the room. Also make your posters neat, colorful, creative, etc!
7) Be prepared to present your poster to the class and explain the characteristics of your graph.
Square Root Function

4. Quartic Function (y = x4)
Algebra 2/Trigonometry
Parent Graph Exploration
Directions: Your group of 2-3 will be responsible for teaching the class about 1 of 10 parent graphs. It will be essential that you know the shapes and characteristics of all of these parent graphs for the rest of our course.
Steps:
1) Create a table of values and make a graph of your equation by hand.
2) Verify that you have graphed it correctly using a graphing calculator / Desmos.
3) Determine the domain and range of your graph.
4) Comment on any other interesting characteristics (for example – Is it a Function? Is the inverse a Function? Is it a one-to-one function? Are there minimums and maximums?; Identify the intercepts)
5) Have Miss Vavala verify all of your findings.
6) Create a small poster of your parent graph.
THINGS TO INCLUDE ON THE POSTER:
-Name of the graph
-Equation of graph
-Picture of graph
-Domain and Range
-Any interesting characteristics.
Please Note: The poster for EACH PARENT GRAPH will be hung in the room. Please make all information large enough to read from across the room. Also make your posters neat, colorful, creative, etc!
7) Be prepared to present your poster to the class and explain the characteristics of your graph.
Quartic Function (y = x4)
Algebra 2/Trigonometry
Parent Graph Exploration
Directions: Your group of 2-3 will be responsible for teaching the class about 1 of 10 parent graphs. It will be essential that you know the shapes and characteristics of all of these parent graphs for the rest of our course.
Steps:
1) Create a table of values and make a graph of your equation by hand.
2) Verify that you have graphed it correctly using a graphing calculator / Desmos.
3) Determine the domain and range of your graph.
4) Comment on any other interesting characteristics (for example – Is it a Function? Is the inverse a Function? Is it a one-to-one function? Are there minimums and maximums?; Identify the intercepts)
5) Have Miss Vavala verify all of your findings.
6) Create a small poster of your parent graph.
THINGS TO INCLUDE ON THE POSTER:
-Name of the graph
-Equation of graph
-Picture of graph
-Domain and Range
-Any interesting characteristics.
Please Note: The poster for EACH PARENT GRAPH will be hung in the room. Please make all information large enough to read from across the room. Also make your posters neat, colorful, creative, etc!
7) Be prepared to present your poster to the class and explain the characteristics of your graph.
Identity Function (y = x)

5. Constant Function (y = c)
Algebra 2/Trigonometry
Parent Graph Exploration
Directions: Your group of 2-3 will be responsible for teaching the class about 1 of 10 parent graphs. It will be essential that you know the shapes and characteristics of all of these parent graphs for the rest of our course.
Steps:
1) Create a table of values and make a graph of your equation by hand.
2) Verify that you have graphed it correctly using a graphing calculator / Desmos.
3) Determine the domain and range of your graph.
4) Comment on any other interesting characteristics (for example – Is it a Function? Is the inverse a Function? Is it a one-to-one function? Are there minimums and maximums?; Identify the intercepts)
5) Have Miss Vavala verify all of your findings.
6) Create a small poster of your parent graph.
THINGS TO INCLUDE ON THE POSTER:
-Name of the graph
-Equation of graph
-Picture of graph
-Domain and Range
-Any interesting characteristics.
Please Note: The poster for EACH PARENT GRAPH will be hung in the room. Please make all information large enough to read from across the room. Also make your posters neat, colorful, creative, etc!
7) Be prepared to present your poster to the class and explain the characteristics of your graph.
Constant Function (y = c)
Algebra 2/Trigonometry
Parent Graph Exploration
Directions: Your group of 2-3 will be responsible for teaching the class about 1 of 10 parent graphs. It will be essential that you know the shapes and characteristics of all of these parent graphs for the rest of our course.
Steps:
1) Create a table of values and make a graph of your equation by hand.
2) Verify that you have graphed it correctly using a graphing calculator / Desmos.
3) Determine the domain and range of your graph.
4) Comment on any other interesting characteristics (for example – Is it a Function? Is the inverse a Function? Is it a one-to-one function? Are there minimums and maximums?; Identify the intercepts)
5) Have Miss Vavala verify all of your findings.
6) Create a small poster of your parent graph.
THINGS TO INCLUDE ON THE POSTER:
-Name of the graph
-Equation of graph
-Picture of graph
-Domain and Range
-Any interesting characteristics.
Please Note: The poster for EACH PARENT GRAPH will be hung in the room. Please make all information large enough to read from across the room. Also make your posters neat, colorful, creative, etc!
7) Be prepared to present your poster to the class and explain the characteristics of your graph.
Vertical Line Graph (x = c)