#25 Exploring Quadratic Functions (Due 11/8/23) (11/6/2023)

Essential Question:  What are quadratic functions?

Learning Target:  Students will be able to recognize the critical characteristics of the graph of quadratic functions and create the graph representing quadratic functions.

Show your work for full credit. 

Remember to use complete sentences when answering written answers.

D

Exploring Graphing Quadratic Functions

Required

30

Fill out the table and use the graph on the left to create a parabola from the quadratic function:

30

Fill out the table and use the graph on the left to create a parabola from the quadratic function:

Required

5

How does the a affect the function
compared to the original function

30

Fill out the table and use the graph on the left to create a parabola from the quadratic function:

Required

5

How does the k affect the function
compared to the original function

30

Fill out the table and use the graph on the left to create a parabola from the quadratic function:

Required

5

How does the k affect the function
compared to the original function

Features of Quadratic Functions

Watch this video covering the basics about quadratic functions

Required

2

According to the video, all quadratic functions are "U" shaped. What is another term that describes the shape of a quadratic function?

Required

2

According to the video, what is the name of the middle point of a quadratic function? This point lies on the axis-of symmetry.

Required

2

According to the video, if the vertex is lowest point of a parabola it is called the __________?

Required

2

The axis of symmetry of a quadratic function sometimes does not pass through the vertex?

Required

5

What is the vertex of this parabola? Name the coordinate.

Required

5

What is the axis of symmetry of this quadratic function? It should be in the form of x=h.

Required

5

What is the vertex of this parabola? Name the coordinate.

Required

5

What is the axis of symmetry of this quadratic function? It should be in the form of x=h.

Required

5

What is the vertex of this parabola? Name the coordinate.

Required

5

What is the axis of symmetry of this quadratic function? It should be in the form of x=h.

Required

10

What does the vertex of this quadratic function represent?

Day 2 11/7/23

Essential Question: How do transformations effect the parent function:

Learning target: Students will use the vertex formula:

to make transformations to the parent function:

Show work for credit

More Features of Quadratic Functions

30

Fill out the table and use the graph on the left to create a parabola from the quadratic function:

Required

5

How do negative values for a affect the function
compared to the original function

30

Guided Practice: Stretching Quadratic Functions

Fill out the table and use the graph on the left to create a parabola from the quadratic function:

5

How do inputting numbers between 0 and 1 for a affect the function
compared to the original function

30

Guided Practice: Vertically Translationing Quadratic Functions

5

Vertical Translation

30

Guided Practice: Horizontally Translationing Quadratic Functions

5

Thursday 11/12/20

Essential Question: How do transformations effect the parent function:

Learning target: Students will use the vertex formula:

to make transformations to the parent function:

Show work for credit

30

Guided practice:

Describe the transformation of:

15

Describe the transformation of:

15

Describe the transformation of:

15

Describe the transformation of:

Monday 11/16/20

5

How does the 2 in this function:
change it from the parent function:

5

How does the -1 in this quadratic function effect the graph?

10

30

Guided Practice: Graph the function and state the vertex.

15

Graph the function and state the vertex.

15

Graph the function and state the vertex.

Tuesday 11/17/20
Interpreting Vertex Form and Standard Form
Essential Question: How can you change the vertex form of a quadratic function to standard form?

Learning Target: Students will be able to convert vertex form of a quadratic function into standard form of a quadratic function.

Review Finding the Square of a Binomial

20

Guided Practice:
Find the square of this binomial:

20

Guided Practice:
Find the square of this binomial:

Converting Quadratic Equations from Vertex Form into Standard Form

Video Tutorial: Hot to convert Vertex Form into Standard Form

10

How do you convert Vertex Form into Standard Form?

20

Guided Practice:
Change the vertex form to standard quadratic form:

20

Guided Practice:
Change the vertex form to standard quadratic form.

10

Change the vertex form to standard quadratic form.

10

Change the vertex form to standard quadratic form.

10

Change the vertex form to standard quadratic form.

10

Change the vertex form to standard quadratic form.

Thursay 11/19/20
Interpreting Vertex Form and Standard Form
Essential Question: How can you change the vertex form of a quadratic function to standard form?

Learning Target: Students will be able to convert vertex form of a quadratic function into standard form of a quadratic function.

Exploring Standard Form of a Quadratic Equation:
How to find the Vertex in Standard Form

40

Guided Practice: Graphing Standard Form

What is the graph of the function?

Be sure to include relevant graph detail: use the axis of symmetry and vertex to sketch the graph and use arrows to represent end behavior.

A.CED.2

F.IF.4

40

Guided Practice: Graphing Standard Form

What is the graph of the function?

Be sure to include relevant graph detail: use the axis of symmetry and vertex to sketch the graph and use arrows to represent end behavior.

A.CED.2

F.IF.4

20

Graphing Standard Form

What is the graph of the function?

Be sure to include relevant graph detail: use the axis of symmetry and vertex to sketch the graph and use arrows to represent end behavior.

A.CED.2

F.IF.4

20

Graphing Standard Form

What is the graph of the function?

Be sure to include relevant graph detail: use the axis of symmetry and vertex to sketch the graph and use arrows to represent end behavior.

A.CED.2

F.IF.4

Review

10

Simplify this expression:

2

Classify the polynomial below based on the number of terms.

2

Classify the polynomial below based on its degree.

10

#25 Exploring Quadratic Functions (Due 11/8/23) (11/6/2023)

Essential Question: What are quadratic functions?

Learning Target: Students will be able to recognize the critical characteristics of the graph of quadratic functions and create the graph representing quadratic functions.

Show your work for full credit.

Remember to use complete sentences when answering written answers.

D

Exploring Graphing Quadratic Functions

Fill out the table and use the graph on the left to create a parabola from the quadratic function:

Fill out the table and use the graph on the left to create a parabola from the quadratic function:

How does the a affect the function compared to the original function

Fill out the table and use the graph on the left to create a parabola from the quadratic function:

How does the k affect the function compared to the original function

Fill out the table and use the graph on the left to create a parabola from the quadratic function:

How does the k affect the function compared to the original function

Features of Quadratic Functions

According to the video, all quadratic functions are "U" shaped. What is another term that describes the shape of a quadratic function?

According to the video, what is the name of the middle point of a quadratic function? This point lies on the axis-of symmetry.

According to the video, if the vertex is lowest point of a parabola it is called the __________?

The axis of symmetry of a quadratic function sometimes does not pass through the vertex?

What is the vertex of this parabola? Name the coordinate.

What is the axis of symmetry of this quadratic function? It should be in the form of x=h.

What is the vertex of this parabola? Name the coordinate.

What is the axis of symmetry of this quadratic function? It should be in the form of x=h.

What is the vertex of this parabola? Name the coordinate.

What is the axis of symmetry of this quadratic function? It should be in the form of x=h.

What does the vertex of this quadratic function represent?

Day 2 11/7/23

Essential Question: How do transformations effect the parent function:

Learning target: Students will use the vertex formula:

to make transformations to the parent function:

Show work for credit

More Features of Quadratic Functions

Fill out the table and use the graph on the left to create a parabola from the quadratic function:

How do negative values for a affect the function compared to the original function

Guided Practice: Stretching Quadratic FunctionsFill out the table and use the graph on the left to create a parabola from the quadratic function:

Guided Practice: Stretching Quadratic Functions

How do inputting numbers between 0 and 1 for a affect the function compared to the original function

Guided Practice: Vertically Translationing Quadratic Functions

Guided Practice: Vertically Translationing Quadratic Functions

Vertical Translation

Vertical Translation

Guided Practice: Horizontally Translationing Quadratic Functions

Guided Practice: Horizontally Translationing Quadratic Functions

Thursday 11/12/20

Essential Question: How do transformations effect the parent function:

Learning target: Students will use the vertex formula:

to make transformations to the parent function:

Show work for credit

Guided practice:Describe the transformation of:

Guided practice:

Describe the transformation of:

Describe the transformation of:

Describe the transformation of:

Describe the transformation of:

Describe the transformation of:

Describe the transformation of:

Describe the transformation of:

Monday 11/16/20

How does the 2 in this function:change it from the parent function:

How does the 2 in this function:

change it from the parent function:

How does the -1 in this quadratic function effect the graph?

How does the -1 in this quadratic function effect the graph?

Guided Practice: Graph the function and state the vertex.

Guided Practice: Graph the function and state the vertex.

Graph the function and state the vertex.

Graph the function and state the vertex.

Graph the function and state the vertex.

Graph the function and state the vertex.

Tuesday 11/17/20

Interpreting Vertex Form and Standard Form

Essential Question: How can you change the vertex form of a quadratic function to standard form?

Learning Target: Students will be able to convert vertex form of a quadratic function into standard form of a quadratic function.

Review Finding the Square of a Binomial

Guided Practice:Find the square of this binomial:

Guided Practice:

Find the square of this binomial:

Guided Practice:Find the square of this binomial:

Guided Practice:

How does the a affect the function
compared to the original function

How does the k affect the function
compared to the original function

How does the k affect the function
compared to the original function

How do negative values for a affect the function
compared to the original function

Guided Practice: Stretching Quadratic Functions

Fill out the table and use the graph on the left to create a parabola from the quadratic function:

How do inputting numbers between 0 and 1 for a affect the function
compared to the original function

Guided practice:

Describe the transformation of:

How does the 2 in this function:
change it from the parent function:

Guided Practice:
Find the square of this binomial:

Guided Practice:
Find the square of this binomial:

Guided Practice:
Change the vertex form to standard quadratic form:

Guided Practice:
Change the vertex form to standard quadratic form.

Guided Practice: Graphing Standard Form

What is the graph of the function?

Be sure to include relevant graph detail: use the axis of symmetry and vertex to sketch the graph and use arrows to represent end behavior.

Guided Practice: Graphing Standard Form

What is the graph of the function?

Be sure to include relevant graph detail: use the axis of symmetry and vertex to sketch the graph and use arrows to represent end behavior.

Graphing Standard Form

What is the graph of the function?

Be sure to include relevant graph detail: use the axis of symmetry and vertex to sketch the graph and use arrows to represent end behavior.

Graphing Standard Form

What is the graph of the function?

Be sure to include relevant graph detail: use the axis of symmetry and vertex to sketch the graph and use arrows to represent end behavior.

How does the a affect the function
compared to the original function

How does the k affect the function
compared to the original function

How does the k affect the function
compared to the original function