Quadratic Equations
coefficient
A number multiplied by a variable in an algebraic expression.
constant term
A number that is not multiplied by a variable.
Trinomial
A polynomial with three terms
Binomial
A polynomial with two terms
quadratic term
A term of degree two
linear term
A term with a degree of one.
Real Roots/Real Solutions
Can be found where the graph crosses the x-axis
Zeros of a quadratic equation
Points where the graph crosses the x-axis where the y-coordinate of the point is zero; (x, 0)
Quadratic Equation
Polynomial with degree 2
A quadratic equation will have two real solutions when...
The graph crosses the x axis in two places
Parabola
The shape of a the graph of a quadratic function
minimum value of a function
The y-value of the point where the graph changes from decreasing to increasing
Vertex Form
a way of writing a quadratic equation such that the vertex (h, k) is identifiable in the equation
monomial
an algebraic expression that contains only one term
polynomial
an algebraic expression with terms in which all exponents are whole numbers
standard form of a quadratic equation
ax² + bx + c = 0 such that a cannot be equal to zero
intercept form of a quadratic equation
the form y = a(x - p)(x - p), where the x-intercepts of the graph are p and q
quadratic formula
the formula used to find the solutions of a quadratic equation
maximum value of a function
the greatest y-value of a function
vertex of a parabola
the highest or lowest point on the graph
axis of symmetry
the line that cuts the graph into two symmetrical parts
A quadratic equation will have no real solutions when...
the parabola does not cross the x axis
term in an expression
the parts of the expression that are added or subtracted
x-intercept
the point where a graph crosses the x-axis
y-intercept
the point where the graph crosses the y-axis
factored form quadratic
the product of a constant and two linear terms
A quadratic equation will have one real solution when...
the vertex of the parabola is on the x axis