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Quadratic Vocabulary Words to graph by…

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Quadratic Function A function that can be written in the standard form y = ax2+bx+c where a does not equal zero.

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**Domain The x-values for a function**

In quadratics, it is always “all real numbers”

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**Range All y-values for a function.**

In quadratics, if a is positive, it is “y > the y value of the vertex”, if a is negative, it is “y < the y value of the vertex”.

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Parabola The U-shaped graph of a quadratic function.

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**Vertex The lowest or highest point on a parabola**

Also called the maximum or minimum

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Axis of Symmetry The vertical line that divides the parabola into mirror images and passes through the vertex.

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**Minimum and Maximum value**

For a quadratic in standard form, the vertex’s y-coordinate is the minimum value of the function if a>0 and its maximum value if a<0.

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Extrema Extrema are the minimum(s) and maximum(s) of a function on a certain interval.

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**Vertex Form A quadratic written in the form y = a(x-h)2 + k**

Where (h, k) is the vertex point

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**Intervals of Increase and Decrease**

You can see from the graph that as you move from left to right the value of the function decreases on the left side of the vertex and increases on the right side of the vertex. Increases over x > - ½ Decreases over x < - ½

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