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24 Cards in this Set
- Front
- Back
- 3rd side (hint)
Compress |
A term used informally to describe the relationship of a graph to it's parent graph when the graph increases or decreases slower than the parent |
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Even function |
A function where f(-x) = f(x) for all the values of x defined for the function |
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Graphing form |
A form of the equation of a function or relation that clearly shows key information about the graph |
The graphing form for the general equation of a quadratic function (vertex form) is y= a(x-h) ^2 +k |
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Odd function |
Function where f(-x)= -f(x) for all values of x defined for the function |
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Piece-wise defined function |
A function composed of parts of two or more functions. Each part usually consists of a function with a restricted domain |
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Standard form |
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Transformation |
The conversion of a function to a corresponding function, often by a factor of constant k transformations often slide, reflect, stretch, and or compress graphs of functions |
For example the function f(x)+k moves the graph of the function up or down by and amount of k. The transformation f(-x) reflects the graph of the function acrros the y axis |
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Vertex |
The vertex form of a parabola is the highest or lowest point on the parabola Vetex form for the equation of a quadratic formula is written y= a(x-h)^2 +k |
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Dilate |
A transformation which vertically compresses or stretches the graph of a function. |
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Function |
A relationship in which for each input value there is one and only one output value . in terms of ordered pairs no two ordered pairs have the same x |
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(h,k) |
H and K are used as parameters I'm general equations for families of functions and families of relations to represent the horizontal and vertical shifts of the parent graph. The pint h,k represents the location of a point that corresponds to 0,0 for parent graphs where 0,0 is on the grapb |
F(x) = AF (x-h) +k |
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Parameter |
Variables such as a, b, c, m, h, and k They are replaced with specific values |
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Range |
The range of a function is the set of all possible outputs for a function that consists of all the values of the dependent variable, that is every number y can represent |
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Step function |
A special kind of piece wise function. A step functiom has a graph that is a series of Lin segments that often look like a set of steps |
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Translation |
The result of moving a graph horizontally, vertically, or both but without changing its orientation |
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Vertex form |
The vertex form for the equation of a qquadratic function (graphing form) is written y= a(x-h) ^2 +k |
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Domain |
Set of all input values for a relation or function |
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General equation |
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Horizontal shift |
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Parent graph |
The simplest version of a family of graphs |
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Reflection |
A type of symmetry where on half of the image is a reflection across a line of the other half of the image |
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Stretch factor |
Used to describe the effect of a in the graphing form of a quadratic, cubic, absolute value, or exponential function. |
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Variable |
A symbol used to represent one or or numbers, letters of the English alphabet are used as variables |
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Vertical shift |
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