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### Vocabulary for Algebra I - Quadratic Functions and Equations

Quadratic Equation (p. 544) An equation in two variables that can be written in the form y = ax^2 + bx + c
Parabola (p. 545) The curve formed when you graph a quadratic function
Minimum Value (p. 546) The least possible y-value for a function
Maximum Value (p. 546) The greatest possible y-value for a function
Vertex (p. 546) The ordered pair that is the highest or lowest point on a parabola
Zero of a Function (p. 553) An x-value that makes the function equal to 0. It is the same as the x-intercept.
Axis of Symmetry (p. 554) A vertical line that passes through the vertex and divides a parabola into two symmetrical halves.
6 Steps for Graphing a Quadratic Function (p. 561) 1) Find the Axis of Symmetry 2) Find the vertex 3) Identify the y-intercept 4) Find two more points by plugging in x values to the equation 5) Graph what you found in steps 1-4 6) Reflect the points from step 4 to fill out your parabolic shape
Root of a Polynomial (p. 569) Another name for the Zero of a Function
Completing the Square (p. 591) A process where you can "make" a quadratic into a perfect square trinomial for the purpose of solving the equation
5 Methods of Solving a Quadratic Equation (p.601) 1) Graphing 2) Factoring 3) Using Square Roots 4) Completing the Square 5) Using the Quadratic Formula
Created by: gklee