How can we help?

You can also find more resources in our Help Center.

17 terms

algebra 2 vocab. ch. 6

STUDY
PLAY
axis of symmetry
a line about which a figure is symmetric
completing the square
a process used to make a quadratic expression into a perfect square trinomial
constant term
monomials that contain no variables
discriminant
in the quadratic formula, the expression b²-4ac
linear term
in the equation f(x)=ax²+bx+c, bx is the ______
maximum value
the y-coordinate of the vertex of the quadratic function f(x)= ax²+bx+c, where a<0
minimum value
the y-coordinate of the vertex of the quadratic function f(x)= ax²+bx+c, where a>0
parabola
the set of all points in a plane that are the same distance from a given point, called the focus, and a given line, called the directrix
quadratic equation
a quadratic function set equal to a value, in the form ax²+bx+c, where a≠0
quadratic formula
the solutions of a quadratic equation of the form ax²+bx+c=0, where a≠0, are given by the quadratic formula, which is -b±√b²-4ac all over 2a
quadratic term
in the equation f(x)=ax²+bx+c, ax² is the _____
quadratic function
a function described by the equation f(x)=ax²+bx+c where a≠0
roots
the solutions of a quadratic equation
square root property
for any real number n, if x²=n, then x=±√n
vertex
1. the point at which the axis of symmetry intersects a parabola
2. the point on each branch nearest the center of a hyperbola
zero product property
for any real numbers a and b, if ab=0, then either a=0, b=0, or both a and b equal zero
zeros
the x-intercepts of the graph of a quadratic equation; the points for which f(x)=0