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Algebra 2 Connections Glossary
justify  
  To give a logical reason supporting a statement or step in a proof.  More generally to use facts, definitions, rules, and/or previously proven conjectures in an organized sequence to convincingly demonstrate that your claim is valid.  (p. 109)
key point  
  An important point on a graph.  Often an x- or y-intercept, a starting or ending point, a maximum or minimum point.  Sometimes a point not on the graph that serves to locate an asymptote.  (p. 9)
Law of Cosines   
  For any ∆ABC, a2 = b2 + c2 − 2bc cos A  (pp. 28, 276)

pic
Law of Sines   
  For any ∆ABC, pic  (pp. 28, 276)
left-multiply   
  Since multiplication of matrices is not commutative the product AB may not equal BA.  If we start with matrix A and we want the product BA we must left‑multiply matrix A by matrix B.  The order of the multiplication matters; therefore, we specify whether we are multiplying on the left side of the matrix or on the right, which would be right‑multiplying.  (p. 366)
line  
  Graphed, a line is made up of an infinite number of points, is one-dimensional and extends without end in two directions.  In two dimensions a line is the graph of an equation of the form ax + by = c  .  (pp. 11, 167, 190)
line of best fit   
  The line that best approximates several data points.  For this course we place the line by visually approximating its position.  An example is shown in the graph below.

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line of symmetry    
  A line that divides a figure into two congruent shapes which are reflections of each other across the line.  (p. 167) pic
linear equation  
  An equation with at least one variable of degree one and no variables of degree greater than one.  The graph of a linear equation of two variables is a line in the plane. ax + by = c  is the standard form of a linear equation.  (p. 11)
linear function  
  A polynomial function of degree one or zero, with general equation f(x) = a(x − h) + k .  The graph of a linear function is a line.  (p. 38)
linear inequality  
  An inequality with a boundary line represented by a linear equation. (pp. 247, 326)
linear programming   
  A method for solving a problem with several conditions or constraints that can be represented as linear equations or inequalities.  (pp. 241, 245)
locator point   
  A locator point is a point which gives the position of a graph with respect to the axes.  For a parabola, the vertex is a locator point.  (p. 181)
locus  
  The location of a set of points that fit a given description.  For example:  A circle with center (5, –2) and radius 3 is described as the locus of points that are a distance of three units from the point (5, –2).  (p. 566)
Log-Power Property   
  (p. 330)  See “Power Property of Logs.”
Log-Product Property   
  (pp. 334, 335)  See “Product Property of Logs.”
Log-Quotient Property    
  (pp. 334, 335)  See “Quotient Property of Logs.”
logarithm  
  An exponent.  In the equation  y = 2x, x is the logarithm, base 2, of y, or  log2y = x. (pp. 282, 283)

logarithmic and exponential notation 
  m = logb(n) is the logarithmic form of the exponential equation bm = n(b > 0) ().  (p. 283)
logarithmic functions   
  Inverse exponential functions.  The base of the logarithm is the same base as that of the exponential function.  For instance y = log2x can be read as “y is the exponent needed for base 2 to get x,” and is equivalent to x = 2y.  The short version is stated “log, base 2, of x,” and written log2x.  (pp. 281, 285, 286)