Show:
FOIL/Factor
Graphing
Factor/Solve I
Miscellaneous
Complex Numbers
100
(x + 7)(x - 3)
x^2 + 4x - 21
100
Consider y = ax^2 + bx + c. Describe the shape of the parabola if a < 0.
What is the parabola will open upside down (the vertex will be a maximum)
100
Solve: x^2 - 4x = 0
x = 0 or x = 4 From: x(x-4)=0
100
What is the square root of -108?
What is 6i sqrt(3)?
100
What is i?
What is The Square Root of -1?
200
(2x - 5)(x + 4)
2x^2 + 3x - 20
200
If a parabola does not cross the x-axis, it is said to have ______________ roots.
2 imaginary
200
The parabola has one x intercept at x = 4 and one y-intercept at y = 5. What is c for this parabola?
What is 5?
200
What is the max/min for: 2x^2 - 2x + 3?
Minimum @ 2.5 x-coord: -b/2a = -(-2)/2(2) = 1/2 Plug in 1/2 = 2(1/4) - 1 + 3 = 2.5
200
What is (5i)(16i)?
What is -80?
300
6x^2 + 30
6x(x + 5)
300
If a graph crosses the x-axis at exactly one point, this point is called a __________ ________:
Double root
300
Factor the following: x^2 - 10x - 24.
What is (x + 2)(x - 12)?
300
When making a graph from 5 points, how many calculations must be done?
3 (the last two are symmetrical)
300
What is the square root(-20)?
What is 2i(SquareRoot(5))?
400
x^2 - 9x + 18
(x - 3)(x - 6)
400
What would 5 good x-values to plug in for graphing: y= 3x^2 + 6x + 2
1, 0, -1, -2, -3
400
Factor the following: x^2 + 10x + 25.
What is (x + 5)(x + 5)?
400
Simplify: 5i/3 - 2i
(10 + 15i) / 13
400
What is (3 + 5i) - (7 - 2i)?
What is -4 + 7i?
500
3x^2 + 11x - 20
(3x - 4)(x + 5)
500
List as much as you can about the graph of y = (x + 1)^2 - 2 (Vertex, Axis of Symmetry, Max/Min, Domain, and Range)
Vertex: (-1,2) Axis of Symmetry: x= -1 Minimum of 2 Domain: All Real Numbers Range: y >= 2
500
Solve the following by factoring: x^2 - 49.
What is x = 7 and -7? From: (x + 7)(x - 7) = 0
500
Suppose a kicked soccer ball is modeled by the equation h = -16t^2 + 52t, where h represents height in feet and t represents time in seconds. When does the ball hit the ground?
What is 3.25 sec?
500
What is i^85?
What is i? Made from i^84 * i = 1 * i = i