Instructor: Suman Ganguli

Class #23 Agenda (Fri Oct 22)

Class Info

Topics

  • Cont’d from yesterday: Graphs of quadratic polynomials ( y = ax^2 + bx + c )
    • parabolas – “symmetric open U shape”
    • the vertex ( x = -b/2a )
    • the y-intercept ( at y = c, i.e, at the point (0, c) )
    • the x-intercepts (solve ax^2 + bx + c = 0 )
      • the zeroes (the “roots”) of a quadratic polynomial = x-intercepts of the corresponding parabola!
    • see OpenStax Sec 9.6
    • “Transformations” (vertical & horizontal shifts) of parabolas
      • see OpenStax, Sec 9.7

To-Do After Class

  • Join peer-led tutoring session with Nojm Ahmed (12-1p via Zoom)
  • Finish WebWork set: “ComplexNumbers” (due tonight, Fri Oct 22)
  • Start on WebWork sets re parabolas: “ParabolaLab”, “ShiftingParabolas”, “ParabolaVertices-CtS” (due Thurs Oct 28)

2 Comments

  1. Suman Ganguli

    This might be another useful online textbook: https://mathbooks.unl.edu/PreCalculus/Test.html

  2. Suman Ganguli

    Good PatrickJMT video to study (“Graphing a Parabola”): https://www.youtube.com/watch?v=CiH2_YJJCRs

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