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Quadratic Expressions and Graph Transformations in Algebra

Learn about expanding expressions, using Pascal's triangle, and analyzing quadratic graphs with transformations. Today's question focuses on finding domain, range, and zeroes in quadratic models. Explore how different signs and values impact the graph. Complete transformation worksheet.

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Quadratic Expressions and Graph Transformations in Algebra

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  1. What is the 3rd term of the following expression: a3 + 3a2b + 3ab2 + b3 2) Use Pascal's triangle to expand the following (x − y)4

  2. Questions over hw?

  3. Daily Check Analyze the graph of this quadratic: 1. Domain 2. Range 3. Vertex 4. Axis of Symmetry 5. Increasing 6. Decreasing 7. X-Intercepts 8. Y-intercepts 9. Extrema

  4. GPS Algebra Today’s Question: How do we find domain, range, and zeroes for different quadratic models? Standard: MM2A3.c.

  5. Transformations

  6. Vertex Form for Quadratics

  7. NEGATIVE on the INside, what does this cause the graph to do? Reflect across the y (h will be the same as it’s sign) “y” am I in here

  8. NEGATIVE on the OUTside, what does this cause the graph to do? Reflect across the x X escaped

  9. Number less than 1 outside, what does this cause the graph to do? Shrink by 3/4

  10. Number greater than 1 outside, what does this cause the graph to do? Stretch by 8

  11. Add on the inside, what does this cause the graph to do? Move LEFT 2

  12. Subtract on the inside, what does this cause the graph to do? Move RIGHT 7

  13. Subtract on the outside, what does this cause the graph to do? Move Down 3

  14. Add on the outside, what does this cause the graph to do? Move Up 5

  15. DESCRIBE THE TRANSFORMATION

  16. Write the equation of the pink graph

  17. Class Work/Homework Transformation Worksheet

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