6.2 vertex form

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6.2 vertex form

  1. 1. 6.2 Quadratic Functions – Vertex Form
  2. 2. What is a Quadratic Function? In a quadratic function the highest power of x is 2.  This means: quadratic functions have an x2 term Examples: y = x2 y = 2x2 + x – 1 y = - x2 + 7
  3. 3. Our Parent Graph Use y = x2 as the parent graph x y -3 -2 -1 0 1 2 3 “Parabola”
  4. 4. Vertex Form Vertex form uses transformations we already know on the parent graph y = x2. y = a(x – h)2 + k
  5. 5. Graphing Vertex Form 1. Sketch parent graph 2. Perform vertical stretch/shrink and reflection (as needed) 3. Shift (as needed) to create final graph
  6. 6. Example 1: Graph y = 2x2. Identify the vertex and axis of symmetry.
  7. 7. Example 2: Graph y = ½ x2 - 5. Identify the vertex and axis of symmetry.
  8. 8. Example 3: Graph y = -(x + 2)2 + 3. Identify the vertex and axis of symmetry.
  9. 9. You Try! Graph y = -2(x – 4)2. Identify the vertex and axis of symmetry.

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