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Algebra vocab unit 5
Unit 5 vocabulary words for test
Question | Answer |
---|---|
Absolute value functions | A function with a V-shaped graph that opens up or down. y=|x| |
Constant of variation for direct variation | The nonzero constant k in the function y=kx |
Constant of variation for inverse variation | The nonzero constant k in the function y=k/x |
Direct variation | A linear function defined by an equation of the form y=kx, where k≠0 |
Linear equation | An equation whose graph forms a straight line. |
Linear parent function | The simplest form of a linear function. ex. y=x |
Opposite reciprocals | A number of the form -b/a, where a/b is a nonzero rational number. The product of a number and its opposite reciprocal is -1. |
Parallel lines | Two lines in the same plane that never intersect. They never have the same slope. |
Parent function | The simplest function with these characteristics. ex. y=x is the ___ ___ for the family of linear equations of the form y=mx+b |
Perpendicular lines | Lines the intersect to form right angles. Two lines are ___ if the product of their slope is -1. |
Point-slope form | A linear equation of a non-vertical line written as y-y1=m(x-x1). The line passes through the point (x1,y1) with slope m. |
Rate of change | The relationship between two quantities that are changing. Also called slope. |
Slope | The ratio of the vertical change to the horizontal change. |
Slope-intercept form | y=mx+b, where m is the slope of the line and b is the y-intercept. |
Standard form of a linear equation | Ax+By=C, where A, B, and C are real numbers and A and B are not zero |
Translation | A transformation that shifts a graph horizontally, vertically, or both. |
X-intercept | The x-coordinate of a point where a graph crosses the x-axis. |
Y-intercept | The y-coordinate of a point where a graph crosses the y-axis. |