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Essential Questions

Monday, November 1. Essential Questions. How do I write quadratic functions and models?. 7.2. Write Quadratic Functions and Models. Write a quadratic function in vertex form. Example 1. Write a quadratic function whose graph has a vertex ( -2, -3 ) and passes through the point (0, 5).

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Essential Questions

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  1. Monday, November 1 Essential Questions • How do I write quadratic functions and models?

  2. 7.2 Write Quadratic Functions and Models Write a quadratic function in vertex form Example 1 Write a quadratic function whose graph has a vertex (-2, -3) and passes through the point (0, 5). Solution Vertex form Substitute for h and k. Use the point (___, ___) to find a. Substitute for x and y. Solve for a. A quadratic function for the parabola is __________________.

  3. 7.2 Write Quadratic Functions and Models Checkpoint. Complete the following exercise. • Write a quadratic function whose graph has vertex (2, 1) and passes through the point (0, 4).

  4. 7.2 Write Quadratic Functions and Models Write a quadratic function in intercept form Example 2 Write a quadratic function whose graph has x-intercepts -3 and 2 and passes through the point (-2, -4). Solution Intercept form Substitute for p and q. Use the point (-2, -4) to find a. Substitute for x and y. Solve for a. A quadratic function for the parabola is __________________.

  5. 7.2 Write Quadratic Functions and Models Checkpoint. Complete the following exercise. • Write a quadratic function whose graph has x-intercepts -4 and 2, and passes through the point (3, 21).

  6. 7.2 Write Quadratic Functions and Models Write a quadratic function in standard form Example 3 Write a quadratic function in standard form for the parabola that passes through the points (-2, -6), (0, 6), and (2, 2) . Substitute the coordinates of each point into y = ax2 + bx + c to obtain a system of three equations. Substitute for x and y. Equation 1 Substitute for x and y. Equation 2 Substitute for x and y. Equation 3

  7. 7.2 Write Quadratic Functions and Models Write a quadratic function in standard form Example 3 Write a quadratic function in standard form for the parabola that passes through the points (-2, -6), (0, 6), and (2, 2) . Rewrite the system as a system of two equations. Substitute for c. Revised Equation 1 Substitute for c. Revised Equation 3

  8. 7.2 Write Quadratic Functions and Models Write a quadratic function in standard form Example 3 Write a quadratic function in standard form for the parabola that passes through the points (-2, -6), (0, 6), and (2, 2) . Solve the system consisting of revised Equations 1 and 3. Revised Equation 1 Revised Equation 3 Add equations. Solve for a. So, ___________=_____, which means b = ___. A quadratic function for the parabola is _____________________.

  9. 7.2 Write Quadratic Functions and Models Checkpoint. Complete the following exercise. • Write a quadratic function in standard form for the parabola that passes through the points (-1, -5), (2, 1), and (3, -1) .

  10. 7.2 Write Quadratic Functions and Models Pg. 266, 7.1 #1-11

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