Square Root
The roots of x2 = 16
What are x = 4 and x = -4?
The roots of x2 - 5x + 6 = 0
{(x - 3)(x - 2)}
What are x = 3 and x = 2?
For y = x2 - 4, find the following:
1. Axis 2. Vertex
3. Solution
1. x = 0 2. (0, -4)
3. {-4, 4}
A method that cannot be used to solve this equation: y = x2 + 1 + 2
What is Factoring?
The roots of x2 - 25 = 0
What are x = 5 and x = -5?
The roots of x2 + 7x + 10 = 0
{(x + 2)(x +5)}
What are x = -2 and x = -5?
For y = y = x2 - 2x - 3 , find the following:
1. Axis 2. Vertex
3. solution
1. x = 1 2. (1, -4)
3. {-1,3}
The number of real solutions this quadratic has
x2 + 20 = 20
What is 1?
{x=0}
The roots of 2x2 =128
What are x = 8 and x = -8?
The roots of 2x2 - 8x = 0
{2x(x - 4) = 0}
What are x = 0 and x =4?
For y = x2 + 6x + 8, find the following:
1. Axis 2. Vertex
3. Solutions
1. x = -3 2. (-3, -1)
3. {-4,-2}
The name of the graph of a quadratic equation
What is Parabola?
The roots of x2 + 9 = 0
What are x = 3i and x = -3i?
The roots of 3x2 - 12x + 9 = 0
{3(x - 1)(x - 3)}
What are x = 1 and x = 3?
For y = 2x2 - 8x + 6, find the following:
1. Axis 2. Vertex
3. zeros
1. x = 2 2. (2, -2)
3. {1,3}
The quadratic formula
What is x = (-b ± √(b2-4ac))/(2a)?
The roots of 3x2 + 12 = 0
What are x = 2i and x = -2i?
4The roots of x2 - 20x + 25 = 0
{(x - 10)(x - 10)}
What is x = 10?
For y = -3x2 + 12x - 5, find the following:
1. Axis 2. Vertex
1. x = 2 2. (2, 7)
The values of b and c of the quadratic equation ( ax2 + bx + c = 0 ) such that the equation has -2 and 3 as roots.
{(x + 2)(x - 3) ----> x2 - x - 6 }
What are b = -1 and c = -6?