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Biblioteka

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

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Posljednje ažuriranje 3 months ago
53 questions

D

Exploring Graphing Quadratic Functions

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Features of Quadratic Functions

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Day 2 11/7/23

More Features of Quadratic Functions

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Thursday 11/12/20

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Monday 11/16/20

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Review Finding the Square of a Binomial

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Video Tutorial: Hot to convert Vertex Form into Standard Form

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Exploring Standard Form of a Quadratic Equation:

How to find the Vertex in Standard Form

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Review

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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.

Pitanje 1
1.

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

Pitanje 2
2.

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

Pitanje 3
3.

How does the a affect the function

compared to the original function

Pitanje 4
4.

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

Pitanje 5
5.

How does the k affect the function

compared to the original function

Pitanje 6
6.

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

Pitanje 7
7.

How does the k affect the function

compared to the original function

Watch this video covering the basics about quadratic functions

Pitanje 8
8.

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

Pitanje 9
9.

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

Pitanje 10
10.

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

Pitanje 11
11.

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

Pitanje 12
12.

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

Pitanje 13
13.

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

Pitanje 14
14.

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

Pitanje 15
15.

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

Pitanje 16
16.

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

Pitanje 17
17.

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

Pitanje 18
18.

What does the vertex of this quadratic function represent?

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

Pitanje 19
19.

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

Pitanje 20
20.

How do negative values for a affect the function

compared to the original function

Pitanje 21
21.

Guided Practice: Stretching Quadratic Functions

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

Pitanje 22
22.

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

compared to the original function

Pitanje 23
23.

Guided Practice: Vertically Translationing Quadratic Functions

Pitanje 24
24.

Vertical Translation

Pitanje 25
25.

Guided Practice: Horizontally Translationing Quadratic Functions

Pitanje 26
26.

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

Pitanje 27
27.

Guided practice:

Describe the transformation of:

Pitanje 28
28.

Describe the transformation of:

Pitanje 29
29.

Describe the transformation of:

Pitanje 30
30.

Describe the transformation of:

Pitanje 31
31.

How does the 2 in this function:

change it from the parent function:

Pitanje 32
32.

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

Pitanje 33
33.

Pitanje 34
34.

Guided Practice: Graph the function and state the vertex.

Pitanje 35
35.

Graph the function and state the vertex.

Pitanje 36
36.

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.

Pitanje 37
37.

Guided Practice:

Find the square of this binomial:

Pitanje 38
38.

Guided Practice:

Find the square of this binomial:

Converting Quadratic Equations from Vertex Form into Standard Form

Pitanje 39
39.

How do you convert Vertex Form into Standard Form?

Pitanje 40
40.

Guided Practice:

Change the vertex form to standard quadratic form:

Pitanje 41
41.

Guided Practice:

Change the vertex form to standard quadratic form.

Pitanje 42
42.

Change the vertex form to standard quadratic form.

Pitanje 43
43.

Change the vertex form to standard quadratic form.

Pitanje 44
44.

Change the vertex form to standard quadratic form.

Pitanje 45
45.

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.

Pitanje 46
46.

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.

Pitanje 47
47.

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.

Pitanje 48
48.

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.

Pitanje 49
49.

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.

Pitanje 50
50.

Simplify this expression:

Pitanje 51
51.

Classify the polynomial below based on the number of terms.

Pitanje 52
52.

Classify the polynomial below based on its degree.

Pitanje 53
53.

Find the difference between these polynomials. (subtract them)