Pc 2.1 notes

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Intro to Polynomial Functions and quadratics.

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Pc 2.1 notes

  1. 1. 2.1 QuadraticEquationsEssential Question:How do you find maximum and minimum values of aquadratic equation? 1
  2. 2. Definition of a Polynomial Function Let n be a nonnegative integer and let an, an-1, ... a1, a0 be real numbers is called a polynomial function of x with degree n. 2
  3. 3. Definition of Quadratic Functiona, b, and c are real numbers with a≠0is called a quadratic equation. 3
  4. 4. Graphs of Quadratics(AKA Parabolas) - Axis of symmetry - Vertex - a is the __________________ and determines if parabola opens up (______) or down (______)Standard Form: Axis of Symmetry: Vertex: 4
  5. 5. Ex. 1) Graph the parabola. Identify the axis of symmetryand vertex. 5
  6. 6. Vertex of a ParabolaGiven:The axis of symmetry for f(x) is:The vertex of f(x) is:Also, the vertex is a maximum if ___________and a minimum if ___________ 6
  7. 7. Rally Coach:Find the vertex of each of the parabolas. 7
  8. 8. 8
  9. 9. 9
  10. 10. Ex. 2) The height y (in feet) of a ball thrown by a child isgiven by the equation below.a) What is the maximum height of the ball?b) How far is the ball thrown? 10
  11. 11. Ex. 3) Write the equation of a parabola whose vertexis (-4, 11) and passes through the point (-6, 15). 11
  12. 12. Assignment:2.1 p. 134 #11, 19, 25,27, 28, 41, 45, 47,59, 61 12
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