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Published byMartha Gray Modified over 5 years ago

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Warm Up Write each expression as a trinomial. Factor each expression.

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**Quadratics in Vertex Form**

Objective: Students will write quadratic equations in vertex form.

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**Writing a Quadratic Function in Vertex Form**

Steps: 1. Write the function in standard form. 2. Set it up to complete the square. 3. Add the square to both sides of the = sign. 4. Write the trinomial as a binomial squared. 5. Solve for y the equation will be in vertex form.

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**Writing a Quadratic Function in Vertex Form**

Example 1: Write the function in vertex form and identify its vertex. 1. Write the function in standard form. 2. Set it up to complete the square.

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**Writing a Quadratic Function in Vertex Form**

3. Add the square to both sides of the = sign. 4. Write the trinomial as a binomial squared. 5. Solve for y the equation will be in vertex form. Vertex:

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**Practice: Write a quadratic function in vertex form and identify its vertex.**

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**Practice: Write a quadratic function in vertex form and identify its vertex.**

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**Writing a Quadratic Function in Vertex Form**

Example 2: Factor, write the function in vertex form, and identify its vertex. 1. Write the function in standard form. 2. Factor the first two terms. 3. Set it up to complete the square.

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**Writing a Quadratic Function in Vertex Form**

4. Add the square to both sides of the = sign. 5. Write the trinomial as a binomial squared. 6. Solve for y the equation will be in vertex form. Vertex:

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**Practice: Write a quadratic function in vertex form and identify its vertex.**

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**Practice: Write a quadratic function in vertex form and identify its vertex.**

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**Writing a Quadratic Function in Vertex Form**

Example 3: Write the function, using fractions, in vertex form, and identify its vertex. 1. Write the function in standard form. 2. Set it up to complete the square.

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**Writing a Quadratic Function in Vertex Form**

3. Add the square to both sides of the = sign. 4. Write the trinomial as a binomial squared. 5. Solve for y the equation will be in vertex form. Vertex:

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**Practice: Write a quadratic function in vertex form and identify its vertex.**

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Independent Practice Write each function in vertex form and identify its vertex.

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