9-10: Basic Transformations of Quadratics

9-10: Basic Transformations of Quadratics

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.

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1) Write title at the top of the page

2) Draw Cornell line

3) Write all questions & answers

4) Write all examples

9-10 Transformations of Parabolas


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

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)

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