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Algebra II Vocabulary
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Gravity
Vocabulary words for GCHS Algebra II
Key Concepts:
Terms in this set (73)
axis of symmetry
the line that divides a figure into two parts that are mirror images
binomial
a polynomial of two terms
coefficient
the numerical factor in a term
complex conjugates
number pairs of the form a + bi and a - bi
complex number
the real numbers AND the imaginary numbers
conjugate
number pairs where the sign of the radicals or the imaginary numbers are opposites
constant
a quantity whose value does not change
constant function
a function of the form y = a where a is a real number
constant term
a term with no variables
correlation
the strength of a relationship between two data sets
cubic function
a polynomial function with the highest power being three
degree
the highest power found in a polynomial
dependent variable
the output values in a function (usually y)
determinant
in a square matrix it is a real number describing the matrix determined by ad - bc in a 2x2 matrix
discriminant
the value of the expression b^2 - 4ac for a quadratic equation
domain
the set of all inputs in a relation (usually x)
end behavior
the directions of a graph as you move away from the origin
equation
a statement that two algebraic expressions are equal
evaluate
determining the arithmetic value of an expression by substituting number values for the variables
expression
a mathematical phrase which contains one or more variables
factor (n)
one of two or more numbers or expressions that when multiplied together produce a given result
factor (v)
rewriting an expression as the product of its factors
function
a relation in which each element in the domain corresponds with exactly one element in the range
greatest common factor
the common factor of each term of an expression that has the greatest coefficient and the greatest exponent
horizontal
parallel to the ground
imaginary number
any number of the form a + bi, where a and be are real numbers, b is not equal to zero, and I is the square root of -1
independent variable
the input values of a function (usually x)
inequality
a statement that two algebraic expressions are related but not equal
integer
one of the positive or negative whole numbers or zero
leading coefficient
the coefficient of the term of highest degree in a polynomial
linear function
a function whose graph is a line where the dependent variable is not raised to a power
matrix
a rectangular array of numbers written within brackets
model
a representation of a real life situation using an equation or graph
monomial
a polynomial of one term
multiplicity
the number of times a linear factor is repeated in the factored form of a polynomial
nature of the roots
the type of roots (real, rational, or imaginary) found in a polynomial
non-integer
any number which cannot be expressed as a whole number or zero
ordered pair
representation of a point in the co-ordinate plane of the form (x,y)
parabola
the shape of the graph of a quadratic function
parallel
lines which do not intersect and have the same slope
parent function
the simplest form of a set of functions which form a family
perpendicular
lines which meet to form right angles and whose slopes are opposite reciprocals
polynomial
an expression consisting of the sum of one or more terms in which each is the product of a constant and a variable raised to an integer power
quadratic formula
x = (-b +/- √ b^2 - 4ac) / (2a) which gives the solution to a quadratic equation
quadratic function
a function that can be written as f(x) = ax^2 + bx + c with a not equal to zero
quartic function
a polynomial function of degree four
quintic function
a polynomial function of degree five
range
the set of all outputs of a relation (usually y)
rate of change
change in one variable with respect to another; slope
rational number
a number which can be expressed exactly as the ratio of two integers
real number
a non-imaginary number
reflection
flip of a graph across an axis or a line
relation
a set of ordered pairs
relative maximum
the value of a function at an up-to-down turning point (top)
relative minimum
the value of a function at a down-to-up turning point (bottom)
root
any value which makes the value of a function equal to zero; f(x) = 0
simplify
to make less complex by distribution, reducing, combining like terms, etc.
slope
ratio of vertical change to horizontal change in a non-vertical line; change in y over change in x
solution of a system
a set of values for the variables that makes all the equations true
standard form of a polynomial
a polynomial with the terms arranged with the powers in descending order
system
a set of two or more equations using the same variables
transformation
a change made to the values of a function which translates, reflects, rotates or dilates a graph of the function
translation
the shift of a graph of a function horizontally, vertically or both
trinomial
a polynomial of three terms
turning point
a point where the graph of a function changes direction
variable
a symbol, usually a letter, that represents one or more numbers
vertex of a parabola
the point where the graph of a quadratic reaches its minimum or maximum value
vertical
perpendicular to the horizon
vertical compression
a reduction of all y-values of a function by a factor between 0 and 1
vertical stretch
a multiplication of all y-values of a function by a factor greater than 1
x-intercept
a point at which a graph of a function crosses the x-axis
y-intercept
a point at which a graph of a function crosses the y-axis
zero of a function
any value of x for which f(x) = 0
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