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Mastering Quadratics in Vertex Form

Learn to write and factor quadratic equations in vertex form. Practice identifying vertex and completing the square. Improve your skills in writing quadratic functions using fractions and binomial squares.

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Mastering Quadratics in Vertex Form

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  1. Warm Up – Tue. January 5 • Write each expression as a trinomial. • Factor each expression.

  2. Quadratics in Vertex Form Objective: Students will write quadratic equations in vertex form.

  3. Review: Quadratic Parent Parent Name: Quadratic Parent Equation: 4 Domain: 1 Range : 0 Vertex: 1 Axis of Symmetry: 4 General Equation (in Vertex Form) Domain: Range : Axis of Symmetry: Vertex:

  4. Writing a Quadratic Function in Vertex Form Steps: 5. Solve for y the equation will be in vertex form. 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. 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.

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

  7. Practice: Write a quadratic function in vertex form and identify its vertex. P1:

  8. Practice: Write a quadratic function in vertex form and identify its vertex. P2:

  9. 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.

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

  11. Practice: Write a quadratic function in vertex form and identify its vertex. P3:

  12. Practice: Write a quadratic function in vertex form and identify its vertex. P4: Vertex:

  13. 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.

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

  15. Practice: Write a quadratic function in vertex form and identify its vertex. P5: Vertex:

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

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