Axis of Symmetry/Vertex
Transformations
Discriminant
Solving by Factoring
Solving by Square Root
100
Find the axis of symmetry:
y = (x + 8)2 - 7
x = -8
100
Describe the transformation of the following:
y = x2 - 3
down 3
100
State the number of solutions based off the discriminant:
8x2 - 8x + 2
One
100
GCF:
3x2 - 9x = 0
x = {0, 3}
100
Solve by Square Root:
x2 = 144
x = {-12, 12}
200
Find the vertex of the following:
y = 2(x - 3)2 + 9
(3, 9)
200
Describe the transformation of the following:
y = -(x + 1)2
Reflection, left 1
200
State the number of solutions based off the discriminant:
x2 - 6x - 1
Two
200
Difference of Squares:
49x2 - 1 = 0
x = {1/7, -1/7}
200
Solve by Square Root:
x2 - 3 = 78
x = {9, -9}
300
Find the axis of symmetry of the following:
x = -3
300
Describe the transformation of the following:
y = 4(x - 9)2 + 2
Stretch, right 9, up 2
300
State the number of solutions based off the discriminant:
k2 + k - 2
Two
300
Trinomials (a = 1):
x2 - 5x - 14 = 0
x = {7, -2}
300
Solve by Square Root:
25x2 - 10 = 54
x = {-8/5, 8/5}
400
Find the vertex of the following:
y = 2x2 + 4x + 5
(-1, 3)
400
Write an equation based off the following transformation:
Right 5, Down 8
y = (x - 5)2 - 8
400
State the number of solutions based off the discriminant:
4x2 + 6x + 6
None
400
Trinomials (a = 1)
x2 - 7x + 10 = -2
x = {4, 3}
400
Solve by Square Root:
4x2 - 2 = 314
x = {-8.89, 8.89}
500
Find the axis of symmetry and vertex of the following:
y = -x2 + 6x - 12
x = 3
(3, -3)
500
Write an equation based off the following transformation:
Reflection over x-axis, vertical compression by 1/3, left 3, up 7
y = -1/3(x + 3)2 + 7
500
State the number of solutions based off the discriminant:
-9x2 - 6x - 1
One
500
Trinomials (a > 1)
2x2 + 8x + 23 = -3x + 8
x = {-3, -5/2}
500
Solve by Square Root:
8x2 - 5 = -138
No Solution