Interval Notation / Domain / Range
Sequences and Series *OR* Complex numbers
Forms of Quadratics
Solving Quadratic Equations
100
What is the Domain of this graph?
(-5, 5]
100
Is this an Arithmetic sequence?
7, 9, 11, 13, ...
Yes, the values all differ by 2 going from one to the next term.
The common difference is 2
100
What is the equation of the quadratic in vertex form with vertex (1,3) and a=-1
y=-(x-1)^2+3
100
Solve the quadratic equation:
0=x^2+2x+1
x=-1
200
What is the Range of this function?
[-2,2]
200
Is this an arithmetic sequence?
-100, -90, -80, -60, -50, -40, ...
No, the value changes between the terms.
There is no common difference.
200
What is the factored form of a quadratic that has x-intercepts at (2,0) and (4,0) and a=1?
y=(x-2)(x-4)
200
Solve the quadratic equation by factoring:
0=x^2+8x+12
x=-6 or x=-2
300
What is the domain and range of this graph?
Domain: [-2,2]
Range: [1,5]
300
Calculate this sum:
(3+8i) + (4i -12)
-9 +12i
300
Change the following quadratic into vertex form.
y=x^2-6x+1
y=(x-3)^2-8
300
Solve the quadratic equation:
x^2+2x=15
x=3 or x=-5
400
State the domain and range of this graph.
Domain: [-4,3)
Range: (-5,5)
400
Calculate this product:
(1+2i)(1-3i)
1+2i-3i-6i^2= 7-i
400
Find the quadratic with vertex (2,2) and goes through point (1,5)
y=3(x-2)^2+2
400
Solve the equation by factoring out an x, then factoring the remaining quadratic:
x^3+8x^2-9x=0
x=0 or x=1 or x=-9
500
State the Domain and Range of this graph
Domain: {-3, -2, 1, 2, 5} or x=-3, x=-2, x=1, x=2, x=5
Range: {-5, 0, 1, 4} or y=-5, y=0, y=1, y=4
500
Simplify this fraction into a+bi form:
9/(2-i)
(18+9i)/5
500
Find the equation of the quadratic in standard form that has vertex (-1,-5) and passes through point (1,3)
y=2x^2+4x-3
500
Solve the quadratic equation:
10x^2+13x=3
x=-3/2 or x=1/5