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Biblioteka

MC 3.1 Exploring Quadratic Functions (Due 11/5/25)

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Posljednje ažuriranje 3 months ago
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Day 1 10/29/24

Exploring Graphing Quadratic Functions

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Features of Quadratic Functions

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Day 2 11/5/25

More Features of Quadratic Functions

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Exploring Standard Form of a Quadratic Equation:

How to find the Vertex in Standard Form

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A.CED.2
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Day 4 11/1/24

Review

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Essential Question: What are quadratic functions and how can I graph them?

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.

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Warm-Up

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

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Watch this video covering the basics about quadratic functions

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

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

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

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Pitanje 13
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What is the axis of symmetry of this quadratic function? It should be in the form of x=h.

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

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

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

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

Pitanje 18
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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
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Fill out the table and use the graph on the left to create a parabola from the quadratic function:

Pitanje 20
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How do negative values for a affect the function

compared to the original function

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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
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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

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Graph this function:

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Graph this function:

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Guided Practice: Graph the function and state the vertex.

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Graph the function and state the vertex.

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Graph the function and state the vertex.

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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.

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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.

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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.

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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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Pitanje 47
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Simplify this expression:

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Classify the polynomial below based on the number of terms.

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Classify the polynomial below based on its degree.

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Find the difference between these polynomials. (subtract them)

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Guided Practice:

Find the square of this binomial:

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Guided Practice:

Find the square of this binomial:

Converting Quadratic Equations from Vertex Form into Standard Form

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How do you convert Vertex Form into Standard Form?

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Change the vertex form to standard quadratic form:

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Change the vertex form to standard quadratic form.

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Change the vertex form to standard quadratic form.

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Change the vertex form to standard quadratic form.

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Change the vertex form to standard quadratic form.

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Change the vertex form to standard quadratic form.