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Bell Ringer #1 Quad Card

Bell Ringer #1 Quad Card. Directions: Draw the quad card on your paper, but replace each definition with the vocabulary term that it matches. This is the line that divides the parabola into two mirror images. The graph of a quadratic function is a ____________. Chapter 4.1 Vocabulary.

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Bell Ringer #1 Quad Card

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  1. Bell Ringer #1 Quad Card Directions: Draw the quad card on your paper, but replace each definition with the vocabulary term that it matches. This is the line that divides the parabola into two mirror images. The graph of a quadratic function is a ____________. Chapter 4.1 Vocabulary The point (h,k) is the _________ of the parabola. f(x) = a(x – h)2 + k

  2. Chapter 4.1 Objectives Before you leave today, you should be able to identify and graph quadratic functions. CCRS: 16, 22, 24, 29

  3. Quadratic Function Vertex form: Axis of symmetry: Vertex of the parabola:

  4. Parent Graph of a Quadratic Function: Axis of Symmetry: Vertex:

  5. Graphing a Function in form f(x) = ax2 What is the graph of f(x) = ½ x2 Step 1: Plot the vertex Step 2: Make a table Step 3:Sketch the curve.

  6. Example 1: What is the graph of f(x) = -1/3 x2

  7. Transformations of a Quadratic

  8. Graphing Translations of f(x) = x2 Graph the function. How is it a translation of f(x) = x2? • g(x) = x2 – 5 • h(x) = (x – 4)2

  9. Example 2: Graph each function, then tell how it is a translation of f(x) = x2 • g(x) = x2 + 3 • h(x) = (x + 1)2

  10. Interpreting Vertex Form For y = 3(x – 4)2 – 2, what are the vertex, axis of symmetry, the max or min value, the domain and range? Step 1: Compare Step 2: The vertex is (h, k) Step 3: The axis of symmetry is x = h

  11. Interpreting Vertex Form For y = 3(x – 4)2 – 2, what are the vertex, axis of symmetry, the max or min value, the domain and range? Step 4: Since a>0, the parabola opens ________ And k = -2 is the _____________ value. Step 5: Domain: Range:

  12. Example 3: What are the vertex, axis of symmetry, min or max value, and domain and range of the function y = -2(x + 1)2 + 4?

  13. Transformations of a Quadratic

  14. Using Vertex Form • What is the graph of f(x)=-2(x – 1)2 + 3 List the transformations:

  15. Example 4: What is the graph of y = 2(x +2)2 – 5 List the transformations:

  16. Quick Write Explain the steps you would take to answer the question: What is the graph of the quadratic f(x) = 2x2?

  17. Exit Slip List the transformations: • f(x) = (x – 1)2 + 2 Identify the axis of symmetry, vertex, maximum and minimum, the domain and range. 2) f(x) = -(x – 4)2 - 25

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