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Transformational Graphing

Explore domain, range, increase/decrease intervals, and transformational graphing. Identify key points, vertex shifts, and more in this fun and educational lesson. Test your knowledge before Pi Day!

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Transformational Graphing

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  1. Transformational Graphing Lucky Lesson 13 – This is the Mini-Theme TEST NEXT CLASS!

  2. Follow up on the Warm Up • What is the domain and range for each graph • What are the intervals of increase and decrease for each graph

  3. What is the fear of the number 13 called? • First try and spell it correctly….. • Triskaidekaphobia

  4. What is transformational graphing? • Let’s look at the graph • When graphed there are 3 key points, the vertex, and one point on each side: • Vertex (0,0), (1,1), (-1,1) • If we graphed each key point would shift left 3 spaces or subtract 3 from each x-value. • Vertex (-3,0), (-2, 1), (-4, 1) • If we graphed each key point would then shift down 1 space or subtract 1 from each y-value. • Vertex: (-3,-1), (-2,0), (-4, 0)

  5. Dan Marino • This Hall of Fame NFL QB wore the number 13 • He played at the University of Pittsburgh and the Miami Dolphins • Passed for over 5000 yards and 48 touchdowns in 1984.

  6. Transformational Graphing • These same principles apply to both the absolute value and cubic graphs: • Centered about (h,k) • It still applies to the cubic function even though it does not have a vertex.

  7. This is the day before Pi day! • March 13

  8. Transformational Graphing

  9. CFU

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