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9-11: Describing Quadratic Graphs

9-11: Describing Quadratic Graphs

Author: Kate Sidlo
Description:

By the end of this tutorial students will be able to describe the vertex of quadratic graphs using maximum and minimum.  Students will also be able ot describe the slope of the graph as increasing or decreasing.  Students should be able to apply this to real world situations.

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Tutorial

TO DO:

1) Write title at the top of the page

2) Draw Cornell line

3) Write all questions & answers

4) Write all examples

9-11 Describing Quadratic Graphs

VOCABULARY:

CONVERT: To change the form of, but keep equal.

DECREASING: A graph that goes down as you move from left to right

DISCRIMINANT: The part of the quadratic formula under the square root (b2 - 4ac). Tells the number of roots.

FACTORED FORM: Any quadratic equation in the form y = (x - a)(x - b)

FACTORING: To break up terms into smaller like terms (for this unit, to go from standard to factored form)

INCREASING: A graph that moves up from left to right.

LINE OF SYMMETRY: The vertical line through the vertex, splits parabola into two mirror-image pieces

MAXIMUM: highest point on a graph, vertex of a negative parabola

MINIMUM: lowest point on a graph, vertex of a positive parabola

QUADRATIC EQUATION: A polynomial with a highest term of x2

QUADRATIC FORMULA: Formula solves for the roots of any standard form quadratic equation

PARABOLA: A graph of a quadratic equation

PERFECT SQUARE: A number that is square of another number (Ex: 9 is a perfect square, 9 = 3*3)

POLYNOMIAL: Any finite set of terms with positive exponents being added, subtracted, or multiplied

REFLECTION: Any flip of a graph over a line (typically the x-axis)

ROOTS/ZEROS: The point or points where a parabola intersects the x-axis.

STANDARD FORM: Any quadratic equation in the form: y = ax2 + bx + c

TRANSLATION: Any slide of graph to the left, right, up, or down. (Think: SLide)

VERTEX: The point on the graph where the parabola changes direction from positive to negative or negative to positive

VERTEX FORM: An exponential equation in the form y = (x - h)2 + k