1. Vertex form : y = a(x – h)2 + k Standard form: y = ax2 + bx + c -b2a -b2a Line of symmetry: x = ___ Vertex: ( ___ , f(____ )) Line of symmetry: x = h Vertex: (h, k) -b2a y-intercept = (0, c) y-intercept = (0, ah2 + k)

2. y = x2 Vertex: (0, 0)

3. y = a(x – h)2 + k -a  flip upside down a>1  skinny 0<a<1  wide +k  shift up -k  shift down +h  shift left -h  shift right

4. y = x2 Vertex: (0, 0) y = x2 + 2 Vertex: (0, 2)

5. y = x2 Vertex: (0, 0) y = x2 + 2 Vertex: (0, 2) y = x2 - 3 Vertex: (0, -3)

6. y = x2 Vertex: (0, 0)

7. y = x2 Vertex: (0, 0) y = (x + 1)2 Vertex: (-1, 0)

8. y = x2 Vertex: (0, 0) y = (x + 1)2 Vertex: (-1, 0) y = (x – 2)2 Vertex: (2, 0)

9. y = x2 Vertex: (0, 0) y = (x + 1)2 – 3 Vertex: (-1, -3)

10. y = x2 Vertex: (0, 0) y = (x – 2)2 + 1 Vertex: (2, 1)

11. y = x2 Vertex: (0, 0)

12. Write in vertex form. Then graphthe function. complete the square Vertex: (-1, 3) Example 6-2a

13. Write in vertex form. Then graphthe function. Vertex: (-3, -4) Example 6-2a

14. Write in vertex form, then graph the function. Vertex: (-1, 4) Opens down skinny Example 6-3a

15. Vertex: (1, 2) so and Write an equation for the parabola whose vertex is at (1, 2) and passes through (3, 4). Example 6-4a