# algebra 2 vocab. ch. 6

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### 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

a quadratic function set equal to a value, in the form ax²+bx+c, where a≠0

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

in the equation f(x)=ax²+bx+c, ax² is the _____

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

Example: