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5.2 (day 1) Properties of Parabolas

5.2 (day 1) Properties of Parabolas. Objectives: To graph quadratic functions. Graph of a Quadratic Function in Standard Form. Quadratic Functions in the form of y = ax 2 +c. Using your graphing calculator compare the graphs of the following: y = x 2 y = -x 2 y = x 2 + 4 y = -x 2 – 3

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5.2 (day 1) Properties of Parabolas

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  1. 5.2 (day 1) Properties of Parabolas Objectives: To graph quadratic functions

  2. Graph of a Quadratic Function in Standard Form

  3. Quadratic Functions in the form of y = ax2+c • Using your graphing calculator compare the graphs of the following: • y = x2 • y = -x2 • y = x2 + 4 • y = -x2 – 3 • y = 3x2 • y = ¼ x2 + 2 Conclusions:

  4. Graph: • y = x2 + 1 • Opens _______ • Axis of symmetry _________ • Vertex ________ • y-int _________ • Table of values

  5. Graph: • y = -3x2 - 5 • Opens _______ • Axis of symmetry _________ • Vertex ________ • y-int _________ • Table of values

  6. Graph: • y = 1/3x2 +1 • Opens _______ • Axis of symmetry _________ • Vertex ________ • y-int _________ • Table of values

  7. Graph: • y = 1/2x2 + x + 3 • Opens _______ • Axis of symmetry _________ • Vertex ________ • y-int _________ • Table of values

  8. Graph: • y = -2x2 + 4x + 2 • Opens _______ • Axis of symmetry _________ • Vertex ________ • y-int _________ • Table of values

  9. Assign: • Pg. 244 # 1-5, 10-13, 15, 20

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