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Graphing Quadratic Sequences: Finding Intercepts and Vertex

Learn how to graph quadratic sequences by finding the x-intercepts, y-intercept and vertex of the equation. Practice matching quadratic equations with their graphs and use the axis of symmetry formula. Use this mnemonic to easily remember the process.

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Graphing Quadratic Sequences: Finding Intercepts and Vertex

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  1. Algebra 11/30/16 GoFormative! While you wait, graph this: A sequence is defined recursively as The domain is {1, 2, 3, 4, 5, 6, 7} Keep graphs at your seat I will collect!

  2. Discrete because it’s a sequence! The domain is {1, 2, 3, 4, 5, 6, 7}

  3. AGENDA *Matching Chain *Using factors to graph Quadratic equations *Foldable *Practice

  4. Matching Chain Match the quadratic equations with the graphs make the chain on your table- the race is afoot!

  5. Think back to Linear Functions How did we find x-intercepts? y-intercepts?

  6. y=4x-2

  7. Same for quadratics When x=0, find the y-intercept

  8. Same for quadratics When y=0, you find the x-intercepts

  9. Same for quadratics When y=0, you find the x-intercepts ???

  10. Same for quadratics When y=0, you find the x-intercepts Factoring Has a Purpose!!!

  11. Try to sketch this

  12. Intercepts?

  13. Intercepts?

  14. Try to sketch this Where’s the vertex?

  15. Try to sketch this Where’s the vertex?

  16. Formula for Axis of symmetry

  17. Formula for Axis of symmetry a=1, b=6

  18. Add Axis of Symmetry Where’s the vertex? x=-3

  19. We want to know The y-value When x=-3 So, substitute

  20. When x=-3

  21. Add Axis of Symmetry

  22. Summarize Our process Find y-intercept Factor to find x-intercepts Use Axis of Symmetry formula Plug in x-value to get vertex coordinates

  23. Try it! Find the y-intercept, x-intercepts, and vertex to sketch the graphs

  24. 1. y= x2 + 5x +6 2. y= x2 - 2x - 8 3. y= 2x2 - 4x - 6

  25. 1. y= x2 + 5x +6 2. y= x2 - 2x - 8 3. y= 2x2 - 4x - 6 Check with graphing calculator!

  26. Scoot Use a scrap paper to solve for zeroes and vertex, then graph on the provided sheet. For best results, use a thick pencil lead or pen/marker. Use the Aurasma App to check your work, if correct, a clue will be revealed. Keep track of your clues-you will need them for the final question. ≤ 3 people per station

  27. Summary Create a mnemonic for finding the intercepts and vertex of a parabola.

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