parent function
The most basic function in a family of functions
reflection
A transformation that flips a graph over the line of reflection. The graph of p(x) is a reflection in the x-axis of the parent quadratic function.
transformation
A change in the size, shape, position, or orientation of a graph. See translation, reflection, horizontal shrink, horizontal stretch, vertical shrink, and vertical stretch.
translation
A transformation that shifts a graph horizontally and/or vertically but does not change its size, shape, or orientation.The graph of g(x) = x-4 is a vertical translation 4 units down of the graph of the parent linear function.
vertical shrink
A transformation that causes the graph of a function to shrink toward the x-axis when all the y-coordinates are multiplied by a factor a where 0 < a < 1.The graph of g (x) = ½x² is a vertical shrink of the graph of the parent quadratic function.
vertical stretch
A transformation that causes the graph of a function to stretch away from the x-axis when all the y-coordinates are multiplied by a factor a, where a > 1.The graph of g(x) = 2 IxI is a vertical stretch of the graph of the parent absolute value function.
horizontal shrink
A transformation that causes the graph of a function to shrink toward the y-axis when all the x-coordinates are multiplied by a factor a, when a>1The graph of g is a horizontal shrink of the graph of f by a factor of ¼.
horizontal stretch
A transformation that causes the graph of a function to stretch away from the y-axis when all the x-coordinates are multiplied by a factor a, when 0<a<1.The graph of g is a horizontal stretch of the graph of f by a factor of 1 ÷ ¹/₃ = 3.
line of fit
A line that models data in a scatter plot.
line of best fit
A line that lies as close as possible to all of the data points in the scatter plot.
correlation coeffcient
A number r form -1 to 1 that measures how well a line fits a set of data pairs (x, y)
solution of a system of three linear equations
An ordered triple ( x, y, z ) whose coordinates make each equation true. Equation 1: 4x + 2y + 3z = 12 Equation 2: 2x - 3y + 5z = -7 Equation 3: 6x - y + 4z = -3
system of three linear equations
A set of three equations of the form ax + by + cz = d, where x, y, and z are variables and a, b, and c are not all zero. Equation 1: 3x + 4y - 8z = -3 Equation 2: x + y + 5z = -12 Equation 3: 4x - 2y + z =10
linear equation in three variables
An equation of the form ax + by + cz = d, where x, y, and z are variables and a, b, and c are not all zero
ordered triple
A solution of a system of three linear equations represented by (x, y, z) Example: (-1, 2, 5)