Formulas
Characteristics of Graphs
Linear Functions
Quadratic Functions
Exponential Functions
100
y= mx +b
slope intercept form
100
All possible input values
Domain
100
A description of any graph or data that can be modeled by a linear equation.
Linear
100
An equation, graph, or data that can be modeled by a degree 2 polynomial.
Quadratic
100
A function of the form y = a·bx where a > 0 and either 0 < b < 1 or b > 1. The variables do not have to be x and y
Exponential function
200
y= ax2+ bx + c
Standard form of Quadratic function.
200
All possible output values.
Range
200
y-y1=m(x-x1)
point slope form (linear function)
200
The point at which a parabola makes its sharpest turn.
Vertex
200
f(x)= a(1+r)t
Exponential growth function
300
y2-y1/ x2-x1
slope formula or average rate of change
300
When x=0. (give 2 names for this feature)
Y intercept
Initial Value
300
Ax + By = C
Standard Form (linear function)
300
f(x)= a(x-h)2+k
Vertex form of a quadratic function
300
f(x)= a(1-r)t
exponential decay function
400
A= P(1+ r/n)nt
Compound Interest Formula
400
When y = 0. (Give 2 names for this feature)
x-intercept
solution
root
zero
400
A number which is used to indicate the steepness of a line, as well as indicating whether the line is tilted uphill or downhill.
Slope
400
What the k in (h,k) represents.
The maximum or minimum value
400
A percentage increase or decrease over time, expressed as a decimal.
rate
500
an=a1+d(n-1)
Arithmetic Sequence Explicit Form
500
The appearance of a graph as it is followed farther and farther in either direction.
End behavior
500
A sequence such as 1, 5, 9, 13, 17 OR 12, 7, 2, –3, –8, –13, –18 which has a constant difference between terms. The first term is a1, the common difference is d, and the number of terms is n.
Arithmetic Sequence
500
What the h in (h,k) represents.
the axis of symmetry
500
A sequence such as 2, 6, 18, 54, 162 or 
which has a constant ratio between terms. The first term is a1, the common ratio is r, and the number of terms is n.
geometric sequence