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Laabri

3.1 Exploring Quadratic Functions (Due 11/8/23)

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Last updated 3 months ago
50 Nsɛmmisa

Day 1 11/6/23

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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Day 3 11/8/23

Exploring Standard Form of a Quadratic Equation:

How to find the Vertex in 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.

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Day 4 11/9/23

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

How does the a affect the function

compared to the original function

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

How does the k affect the function

compared to the original function

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

How does the h affect the function

compared to the original function

Watch this video covering the basics about quadratic functions

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8.

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

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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.

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

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

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11.

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

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12.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

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

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14.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

How do negative values for a affect the function

compared to the original function

Asemmisa {{asɛmmisaAhyɛnsode}}
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:

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

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

compared to the original function

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

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

Describe the transformation of:

Stretch or Compression?(If a=1 or a=-1, then write none)

Opens upward or downward?

Horizontal shift? (If there is no shift write none)

Vertical shift? (If there is no shift write none)

Axis of Symmetry? (x=h)

Vertex (h,k)

Asemmisa {{asɛmmisaAhyɛnsode}}
25.

Describe the transformation of:

Stretch or Compression?(If a=1 or a=-1, then write none)

Opens upward or downward?

Horizontal shift? (If there is no shift write none)

Vertical shift? (If there is no shift write none)

Axis of Symmetry? (x=h)

Vertex (h,k)

Asemmisa {{asɛmmisaAhyɛnsode}}
26.

Describe the transformation of:

Stretch or Compression?(If a=1 or a=-1, then write none)

Opens upward or downward?

Horizontal shift? (If there is no shift write none)

Vertical shift? (If there is no shift write none)

Axis of Symmetry? (x=h)

Vertex (h,k)

Asemmisa {{asɛmmisaAhyɛnsode}}
27.

Describe the transformation of:

Stretch or Compression?(If a=1 or a=-1, then write none)

Opens upward or downward?

Horizontal shift? (If there is no shift write none)

Vertical shift? (If there is no shift write none)

Axis of Symmetry? (x=h)

Vertex (h,k)

Asemmisa {{asɛmmisaAhyɛnsode}}
28.

Describe the transformation of:

Stretch or Compression?(If a=1 or a=-1, then write none)

Opens upward or downward?

Horizontal shift? (If there is no shift write none)

Vertical shift? (If there is no shift write none)

Axis of Symmetry? (x=h)

Vertex (h,k)

Asemmisa {{asɛmmisaAhyɛnsode}}
29.

Graph this function:

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30.

Graph this function:

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31.

Guided Practice: Graph the function and state the vertex.

Asemmisa {{asɛmmisaAhyɛnsode}}
32.

Graph the function and state the vertex.

Asemmisa {{asɛmmisaAhyɛnsode}}
33.

Graph the function and state the vertex.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
34.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
35.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
36.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
37.

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.

Interpreting Vertex Form and Standard Form

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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Asemmisa {{asɛmmisaAhyɛnsode}}
47.

Simplify this expression:

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48.

Classify the polynomial below based on the number of terms.

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49.

Classify the polynomial below based on its degree.

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50.

Find the difference between these polynomials. (subtract them)

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38.

Guided Practice:

Find the square of this binomial:

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39.

Guided Practice:

Find the square of this binomial:

Converting Quadratic Equations from Vertex Form into Standard Form

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40.

How do you convert Vertex Form into Standard Form?

Asemmisa {{asɛmmisaAhyɛnsode}}
41.

Change the vertex form to standard quadratic form:

Asemmisa {{asɛmmisaAhyɛnsode}}
42.

Change the vertex form to standard quadratic form.

Asemmisa {{asɛmmisaAhyɛnsode}}
43.

Change the vertex form to standard quadratic form.

Asemmisa {{asɛmmisaAhyɛnsode}}
44.

Change the vertex form to standard quadratic form.

Asemmisa {{asɛmmisaAhyɛnsode}}
45.

Change the vertex form to standard quadratic form.

Asemmisa {{asɛmmisaAhyɛnsode}}
46.

Change the vertex form to standard quadratic form.