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Quadratic Equations and Graphs Review

Match equations with graphs, write equations with specific properties, and analyze functions. Solve projectile motion problem. Prepare for a test.

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Quadratic Equations and Graphs Review

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  1. Do Now: Match each equation with its graph

  2. Review Chapter 2

  3. Write an Equation that has the following properties • Vertex: (10,-4); passes through (1,12) • Points: (-1,0), (5,3), (7,0)

  4. Passes through (4,3); x-intercepts of -1 and 5 • Passes through (1,12) and has a vertex (10,-4)

  5. Let the graph of g be a translation 2 units left and 1 unit down, followed by a reflection in the y-axis of the graph of f(x) = (2x + 1)2 – 4 Let g be a horizontal shrink by a factor of 1/3 followed by a translation 2 units up and 4 units left of the graph of f(x) = (3x – 2)2 + 5

  6. Graph: y = 3x2 – 6x + 4

  7. Graph: y = -(x +3)2 + 5

  8. Graph: y = 2(x+3)(x-1)

  9. Explain why a quadratic function models the data. Then find the model. 1) 2)

  10. An object is launched directly overhead at 36 meters per second. The height (in meters) of the object is given by h(t) = -16t2 + 36t + 5 where t is the time (in seconds) since the object was launched. How long is it in the air? How high does it get? When is it at its highest? For how many seconds is the object at or above a height of 25 meters?

  11. Closing • Make a list of everything you need to study for the test tomorrow.

  12. Homework • Study for the Test

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