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Chapter 3 Vocab
Question | Answer |
---|---|
Standard Form | a linear equation (Ax + By = C) |
X-intercept | The x coordinate of a point where the graph crosses the x=ais, it occurs when y=O |
Y-intercept | The y coordinate of a point where the graph crosses the y-axis, it occurs when x=O |
Slope | the M of a nonvertical line passing through two points (x,y) and (x2, y2) is the ratio of the rise to the run. |
Rise | Change in y |
Run | Change in x |
Slope intercept form | The slope of a line is m, and the y-intercept of the line is b. |
Constant function | A linear equation written in the form y = 0x + b or y = b |
Family of functions | A group of functions with similar characteristics |
Parent function | The most common family of functions |
Transformation | A change in size, shape, position or orientation of a graph |
Reflectiion | A transformation that flips a graph over a line called the line of reflection |
Translation | The transformation that shifts a graph horizontally or vertically |
Horizontal shrink | When a > 1, the transformation is a horizontal shrink because the graph shrinks toward the y-axis |
Horizontal stretch | When 0 < a < 1, the transformation is a horizontal stretch because the graph stretches away from the y-axis. |
Vertical Shrink | When 0 < a < 1, the transformation is a vertical shrink because the graph shrinks toward the x-axis. In each chase, the x-intercept stays the same. |
Vertical Stretch | When a > 1, the transformation is a veritcal stretch because the graph stretches away ffrom the x-ais. |
Absolute value function | A function that contains an expression within absolute value symbols. |
Vertex | The apex/highest point |
Vertex form | A quadratic equation used to identify the vertex |