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Author:
Kate Sidlo

By the end of this tutorial students will be able to graph reflections across the x-axis of parabolas, and translations from vertex form. Students will also know the basic definition of dilation and rotation.

Tutorial

1) Write title at the top of the page

2) Draw Cornell line

3) Write all questions & answers

4) Write all examples

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

**DISCRIMINANT**: The part of the quadratic formula under the square root (b^{2} - 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)

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

**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