Quadratics
Polynomials
Functions
Graphs
Rational expressions and equations
100
Given the quadratic function, identify the vertex and axis of symmetry.
f(x) = x2 + 6x + 2
x=(-b)/(2a)
What is
AOS: x = -3
Vertex: (-3, -7)
100
Divide:
(12x^4+24x^3-4x^2)/(4x^2)
What is 3x2 + 6x - 1?
100
Given the following solutions to a polynomial, write the function: (3, 0), (-2, 0), (-1, 0).
What is f(x) = x3 - 7x - 6.
100
State the domain and range of 
f(x)=sqrt(x-3)+2
What is :
D: [3, oo) & R: [2,oo)
100
Simplify:
(x^2+3x-10)/(x^2-5x+6)
What is
(x+5)/(x-3)
200
Determine how many and what type of solutions the graph has.
What is 1 real root?
200
Divide:
(3x^2-6x-8)-:(x-3)
What is
3x+3+1/(x-3)
200
Given g(x) = x2 + 3 and h(x) = x - 4, find g(x) * h(x).
What is x3 - 4x2 + 3x - 12?
200
Describe the transformations to the function compared to the parent graph of
g(x)=sqrt(x+2)-1
What is:
Horizontal shift left 2; Vertical shift down 1.
200
Multiply:
(x^2-4)/(x+4)*(x^2+7x+12)/(x^2+5x+6)
What is x - 2?
300
State the vertex, x-intercepts and y-intercept for the graph.
Vertex: (-1, -4)
x-intercepts: (-3, 0) & (1, 0)
y-intercept: (0, -3)
300
Use the Rational Root Theorem to list all of the possible rational zeros of the polynomial.
f(x) = 12x4 + 3x3 - 5x + 5
What is
+-1, +-5,+-1/2,+-5/2,+-1/3,+-5/3,+-1/4,+-5/4,+-1/6,+-5/6,+-1/12,+-5/12
300
Find f(g(5)) if f(x) = 2x - 3 and
g(x)=sqrt(x-1)
What is 1?
300
State the vertical and horizontal asymptotes, if any, for the function:
f(x)=(x-2)/(x+1)
What is
VA: x = -1
HA: y = 1
300
Divide:
(x^2+7x+10)/(x+2)-:(x^2+8x+15)
What is
1/(x+3)
400
An object is launched at 17.8 meters per second from a 46.9 meter tall platform. Use the given formula to find the height in meters after 3 seconds.
h(t) = -4.9t2 + 17.8t + 46.9
What is 56.2 meters.
400
Given the zero of 2, find the other zeros for the polynomial:
x3 - 2x2 + 3x - 6 = 0
What is
+-isqrt3
400
If f(x) = x2 + 5 and g(x) = x - 3, find f(g(x)).
What is x2 - 6x + 14?
400
Graph:
y=(1/4)^x
What is 
400
Add:
2/(x+3)+3/(x-6)
What is
(5x-3)/((x+3)(x-6))
500
Solve:
x4 + 5x2 - 36 = 0
*Hint - you should have 4 solutions.
What is x = 3i, -3i, 2, -2?
500
Find all of the rational zeros of
f(x) = x3 + x2 - 4x - 4
What are x = 2, -2, -1?
500
Find the inverse of f(x) = 3x - 4.
What is
f^-1(x)=1/3x+4/3
500
Sketch the graph of the function:
f(x)=(x+2)(x-1)^2
What is 
500
Solve:
x/(x-2)+x=6/(x-2)
What is x = 3 & -2?