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Quadratic Functions: Vertex and Axis of Symmetry

Learn how to determine the vertex and axis of symmetry of a quadratic function and understand their relationship in graphing quadratic functions. Explore the concept through the example of Pumpkin Chunkin by Catapult.

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Quadratic Functions: Vertex and Axis of Symmetry

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Presentation Transcript

  1. Warm up

  2. 12.5 The Vertex of a Quadratic function SWBAT determine the vertex of a quadratic function, the axis of symmetry and explain the relationship of both for the graph of a quadratic function.

  3. Pumpkin Chunkin by Catapult

  4. Suppose that a catapult hurls a pumpkin from a height of 68 feet at an initial velocity of 128 feet per second.

  5. 4. Graph the function on desmos.com using the bounds [-1,9]x[0,500].

  6. Using the graph determine the zeros of the function and explain what each means in terms of the situation. Does each zero make sense in terms of this problem situation?

  7. Use the graph on desmos

  8. The Vertex of a Parabola and Symmetry • The vertexof a parabola is the absolute max or min on the curve. The axis of symmetryof a parabola is the imaginary vertical line where x = ___ that passes through the vertex and divides the parabola into two mirror images. All parabolas are symmetrical.

  9. 3 What do you notice about the x-coordinate of the vertex when compared to the axis of symmetry

  10. How can you determine the coordinates of vertex given the axis of symmetry?

  11. Reflection What is another name for the vertex of a parabola? How can the vertex help to identify the axis of symmetry?

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