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Big Ideas Algebra 2 Chapter 1

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Section 1

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vertical shrink

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Algebra Math

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Date created

Mar 1, 2020

Cards (15)

Section 1

(15 cards)

vertical shrink

Front

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.

Back

line of best fit

Front

A line that lies as close as possible to all of the data points in the scatter plot.

Back

reflection

Front

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.

Back

linear equation in three variables

Front

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

Back

horizontal shrink

Front

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>1 The graph of g is a horizontal shrink of the graph of f by a factor of ¼.

Back

system of three linear equations

Front

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

Back

line of fit

Front

A line that models data in a scatter plot.

Back

correlation coeffcient

Front

A number r form -1 to 1 that measures how well a line fits a set of data pairs (x, y)

Back

parent function

Front

The most basic function in a family of functions

Back

translation

Front

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.

Back

ordered triple

Front

A solution of a system of three linear equations represented by (x, y, z) Example: (-1, 2, 5)

Back

vertical stretch

Front

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.

Back

solution of a system of three linear equations

Front

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

Back

horizontal stretch

Front

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.

Back

transformation

Front

A change in the size, shape, position, or orientation of a graph. See translation, reflection, horizontal shrink, horizontal stretch, vertical shrink, and vertical stretch.

Back