Unit Circle
Quadratic Formula
ZPP
Axis of Symmetry
Miscellaneous
100
What is the Unit Circle?
A unit circle is a circle with a radius of one (a unit radius). In trigonometry, the unit circle is centered at the origin. For the point (x,y) in Quadrant I, the lengths x and y become the legs of a right triangle whose hypotenuse is 1.
100
What is the quadratic formula?
negative "b" plus or minus the square root of "b^2" minus four times "a" times "c" divided by two time "a"
100
What does the Zero Product Property state?
If ab = 0, then either a = 0 or b = 0, or both a and b are 0.
100
What is the definition of "axis of symmetry"?
A line of symmetry for a graph. The two sides of a graph on either side of the axis of symmetry look like mirror images of each other
100
What is the vertex?
The point where the parabola changes direction?
200
What is sin(30)
1/2
200
Use the quadratic formula to solve x^2+2x-8=0
x=-4 x=2
200
Solve Solve 5a^2 + 15a=0
a=0 or a=-3
200
axis of symmetry of y=x^2
The y axis (x=0)
200
What variable is used to signify imaginary numbers are present?
i
300
What is cos(30)?
Square root of 3 divided by two.
300
Who solved the quadratic formula?
The Greek mathematician Diophantus
300
Solve for r^2 – 5r + 6 = 0
r=3 or r=2
300
Find the axis of symmetry of y=x^2-2x-3
x=1
300
Name a method of solving quadratic equations?
Completing the square (multiple answers)
400
What is tan(30)?
Square root of three divided by three.
400
When are there two complex solutions?
When the Discriminant (b2−4ac) is: positive, there are 2 real solutions. zero, there is one real solution. negative, there are 2 complex solutions.
400
Solve b^2 + 4 = -12b
b= -2/5 or b=-2
400
What is the formula for determining the axis of symmetry in a parabola?
-b/2a
400
What does i^2 equal?
-1
500
How do you find the tangent if you know the cosine and sine values?
Sine divided by cosine equals tangent.
500
What is the quadratic equation in standard form?
ax^2+bx+c=0
500
Solve for x^2+4x-21=0
x=-7 or x=3
500
Find the axis of symmetry for y= x^2-4x+5
x=2
500
What does i^4 equal/
1