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Biblioteka

MC 3.2 Quadratic Functions--Connecting Intercepts and Linear Factors (Due 11/13/25)

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Day 1 11/10/25

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Solving Review

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Solving Quadratic Equations by Graphing

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Day 2 11/12/25

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Warm-Up: Spiral Review

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Factoring Quadratics

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Spiral Review

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Solving Quadratics

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Solving Quadratic Word Problem

Essential Question: How are the x-intercepts of a quadratic function and its linear factors related?

Learning Target: Students will be able to identify the x-intercepts of quadratic equations and use them to create graphical representations of those functions.

Show your work for credit.

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Graph the function y=(x - 4)(x - 2). What is the relationship between the axis of symmetry and its intercepts?

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Guided Practice

Graph the function using its intercepts.

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Graph the function using its intercepts.

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Graph the function using its intercepts.

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Graph the function using its intercepts.

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Solve this linear equation.

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Solve this linear equation.

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Essential Question: How are the x-intercepts of a quadratic function and its linear factors related?

Learning Target: Students will be able to identify the x-intercepts of quadratic equations and use them to create graphical representations of those functions.

Show your work for credit.

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Mutlitply the binomials:

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Mutlitply the binomials:

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Factor each expression. Be sure to check for a GCF first.

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Factor each expression. Be sure to check for a GCF first.

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Factor each expression. Be sure to check for a GCF first.

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Factor each expression. Be sure to check for a GCF first.

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Solve this equation:

6x-9=45

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What does is it mean to solve an equation?

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Calculating Room Areas

People frequently need to calculate the area of rooms, boxes or plots of land. An example might involve building a rectangular box where one side must be twice the length of the other side.

For example, if you have only 4 square feet of wood to use for the bottom of the box, with this information, you can create an equation for the area of the box using the ratio of the two sides. This means the area -- the length times the width -- in terms of x would equal x times 2x, or 2x2. This equation must be less than or equal to four to successfully make a box using these constraints.

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Objects Affected by Gravity

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