1] y = ½(x + 4)(x - 2)
a = ½, p = -4, q = 2
x-intercepts: (-4, 0), (2, 0)
Axis of Symmetry is x = -1
Vertex: (-1, -4.5)
Opens up or down? Up
Slope to pt one unit from vertex: 1
y-intercept: (0, -4)
2] y = -½x(x - 8)
a = -½, p = 0, q = 8
x-intercepts: (0, 0), (8, 0)
Axis of Symmetry is x = 4
Vertex: (4, 8)
Opens up or down? Down
Slope to pt one unit from vertex: -4
y-intercept: (0, 0)
3] y = (x + 2)(x - 2)
a = 1, p = -2, q = 2
x-intercepts: (-2, 0), (2, 0)
Axis of Symmetry is x = 0
Vertex: (0, -4)
Opens up or down? Up
Slope to pt one unit from vertex: 2
y-intercept: (0, -4)
4] y = -⅓(x + 1)(x - 5)
a = -⅓, p = -1, q = 5
x-intercepts: (-1, 0), (5, 0)
Axis of Symmetry is x = 2
Vertex: (2, 3)
Opens up or down? Down
Slope to pt one unit from vertex: -2
y-intercept: (0, 5/3)
5] y = 4(x + 2)(x + 1)
a = 4, p = -2, q = -1
x-intercepts: (-2, 0), (-1, 0)
Axis of Symmetry is x = -1.5
Vertex: (-1.5, -1)
Opens up or down? Up
Slope to pt one unit from vertex: 4
y-intercept: (0, 8)
6] y = -(x - 3)(x - 3)
a = -1, p = 3, q = 3
x-intercepts: (3, 0), (3, 0)
Axis of Symmetry is x = 3
Vertex: (3, 0)
Opens up or down? Down
Slope to pt one unit from vertex: -2
y-intercept: (0, -9)
Parent Tip: Review the logic above to help your child master the concept of algebra 2 graphing quadratic functions worksheet.
