A function where f(−x) = f(x) for all values of x defined for the function. The graph of the function will be symmetric about the y-axis.
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VARIABLE
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A symbol used to represent one or more numbers.
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PARAMETER
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In a general equations where x and y represent the inputs and outputs of the function, variables such as a, b, c, m, h, and k are often referred to as parameters, and they are often replaced with specific values.
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RANGE
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All possible outputs for a function.
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STANDARD FORM (QUADRATIC)
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the equation of a quadratic function is y = ax2 + bx + c where a ≠ 0.
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PARENT GRAPH
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The simplest version of a family of graphs.
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TRANSLATION
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The result of moving a graph horizontally, vertically, or both but without changing its orientation.
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DILATION
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A transformation which vertically compresses or stretches the graph of a function.
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GENERAL EQUATION
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If y = f(x) is a parent equation, then the general equation for that function is given by y = af(x − h) + k where (h, k) is the point corresponding to (0, 0) in the parent graph.
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TRANSFORMATION
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The conversion of a function to a corresponding function.
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FUNCTION
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A relationship in which for each input value there is one and only one output value
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VERTEX
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the highest or lowest point on the parabola (depending on the parabola's orientation).
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HORIZONTAL SHIFT
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Used with parent graphs and general equations for functions and relations such as y = a(x − h)2 + k.
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VERTICAL SHIFT
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Used to describe the location of a graph in relation to its parent graph, the shift is the distance (up or down) of each point on the graph from the corresponding point on the parent graph.
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ODD FUNCTION
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A function where f(−x) = −f(x) for all values of x defined for the function. The graph of the function will be symmetric about the origin.
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STRETCH FACTOR
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Used to describe the effect of a in the graphing form of a quadratic, cubic, absolute value, or exponential function.
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GRAPHING FORM
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A form of the equation of a function or relation that clearly shows key information about the graph.
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PIECEWISE FUNCTION
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A function composed of parts of two or more
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COMPRESS
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A term used informally to describe the relationship of a graph to its parent graph when the graph increases or decreases more slowly than the parent.
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REFLECTION
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A type of symmetry where one half of the image is a reflection across a line of the other half of the image. You can fold the image on the line of symmetry and have both halves match exactly.
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DOMAIN
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The set of all input values for a relation or function.