1. Standard form: Vertex form :
y = ax2 + bx + c y = a(x – h)2 + k
-b
Line of symmetry: x = ___
Line of symmetry: x = h
2a
-b -b
Vertex: ( ___ , f(____ )) Vertex: (h, k)
2a 2a
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 +h shift left +k shift up
|a|>1 skinny -h shift right -k shift down
|a|<1 wide

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. Write in vertex form. Then graph
the function.
complete the square
Vertex: (-1, 3)

12. Write in vertex form. Then graph
the function.
Vertex: (-3, -4)

13. Write in vertex form, then
graph the function.
Vertex: (-1, 4)
Opens down
skinny

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