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Quadratic Vocabulary

Quadratic Vocabulary. Words to graph by…. Quadratic Function. A function that can be written in the standard form y = ax 2 +bx+c where a does not equal zero. Domain. The x-values for a function In quadratics, it is always “all real numbers ”. Range. All y-values for a function.

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Quadratic Vocabulary

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  1. Quadratic Vocabulary Words to graph by…

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

  3. Domain • The x-values for a function • In quadratics, it is always “all real numbers”

  4. 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”.

  5. Parabola • The U-shaped graph of a quadratic function.

  6. Vertex • The lowest or highest point on a parabola • Also called the maximum or minimum

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

  8. 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.

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

  10. Vertex Form • A quadratic written in the form y = a(x-h)2 + k • Where (h, k) is the vertex point

  11. 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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