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Quadratic Functions

Vocabulary

TermDefinition
Quadratic Function A function of the form y = ax^2 + bx + c, where a ≠ 0. The graph of a quadratic function is a parabola, a U-shaped curve that opens up or down.
Standard Form of a Quadratic Function The form of a quadratic function written y = ax^2 + bx + c, where a ≠ 0.
Parabola The graph of a quadratic function
Axis of Symmetry The line that divides a parabola into two matching halves.
Vertex The highest or lowest point on a parabola. The axis of symmetry intersects the parabola at the vertex.
Minimum The y-coordinate of the vertex of a parabola that opens upward.
Maximum The y-coordinate of the vertex of a parabola that opens downward.
Quadratic Parent Function y=x^2
Quadratic Equation or Standard Form of a Quadratic Equation an equation that can be written in the form of ax^2+bx+c=0, where a cannot be 0.
Roots or Zeros of an Equation the solutions and the x-intercepts of a quadratic equation
Zero Product Property For any real numbers "a" and "b", if "ab=0", then "a=0" or "b=0".
Completing the Square The process off dividing "b" by two and squaring it, then adding it to both sides of an equation in order to solve for the roots of a quadratic function.
Created by: arouson