Standard form:                Vertex form :  y = ax2 + bx + c            y = a(x – h)2 + k                      -bLine of ...
y = x2   Vertex: (0, 0)
y = a(x –       h) 2       +k-a      flip upside down   +h   shift left        +k   shift up|a|>1      skinny          -h ...
y = x2   Vertex: (0, 0)y = x2 + 2   Vertex: (0, 2)
y = x2   Vertex: (0, 0)y = x2 + 2   Vertex: (0, 2)y = x2 - 3   Vertex: (0, -3)
y = x2   Vertex: (0, 0)
y = x2   Vertex: (0, 0)y = (x + 1)2   Vertex: (-1, 0)
y = x2   Vertex: (0, 0)y = (x + 1)2   Vertex: (-1, 0)y = (x – 2)2   Vertex: (2, 0)
y = x2   Vertex: (0, 0)y = (x + 1)2 – 3   Vertex: (-1, -3)
y = x2   Vertex: (0, 0)y = (x – 2)2 + 1   Vertex: (2, 1)
Write                in vertex form. Then graphthe function.                         complete the square   Vertex: (-1, 3)
Write                 in vertex form. Then graphthe function.   Vertex: (-3, -4)
Write                 in vertex form, thengraph the function.   Vertex: (-1, 4)  Opens down   skinny
Write an equation for the parabola whose vertex is at(1, 2) and passes through (3, 4).Vertex: (1, 2) so        and
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Alg2 lesson 6-6

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Alg2 lesson 6-6

  1. 1. Standard form: Vertex form : y = ax2 + bx + c y = a(x – h)2 + k -bLine of symmetry: x = ___ Line of symmetry: x = h 2a -b -bVertex: ( ___ , f(____ )) Vertex: (h, k) 2a 2a y-intercept = (0, c) y-intercept = (0, ah2 + k)
  2. 2. y = x2 Vertex: (0, 0)
  3. 3. y = a(x – h) 2 +k-a flip upside down +h shift left +k shift up|a|>1 skinny -h shift right -k shift down|a|<1 wide
  4. 4. y = x2 Vertex: (0, 0)y = x2 + 2 Vertex: (0, 2)
  5. 5. y = x2 Vertex: (0, 0)y = x2 + 2 Vertex: (0, 2)y = x2 - 3 Vertex: (0, -3)
  6. 6. y = x2 Vertex: (0, 0)
  7. 7. y = x2 Vertex: (0, 0)y = (x + 1)2 Vertex: (-1, 0)
  8. 8. y = x2 Vertex: (0, 0)y = (x + 1)2 Vertex: (-1, 0)y = (x – 2)2 Vertex: (2, 0)
  9. 9. y = x2 Vertex: (0, 0)y = (x + 1)2 – 3 Vertex: (-1, -3)
  10. 10. y = x2 Vertex: (0, 0)y = (x – 2)2 + 1 Vertex: (2, 1)
  11. 11. Write in vertex form. Then graphthe function. complete the square Vertex: (-1, 3)
  12. 12. Write in vertex form. Then graphthe function. Vertex: (-3, -4)
  13. 13. Write in vertex form, thengraph the function. Vertex: (-1, 4) Opens down skinny
  14. 14. Write an equation for the parabola whose vertex is at(1, 2) and passes through (3, 4).Vertex: (1, 2) so and

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