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Quadratics - Volz

Quadratic Equation Vocabulary For Algebra 2

QuestionAnswer
Roots When the quadratic equation crosses the x-axis; also, when x = 0, the x-intercepts, the solutions, or the zeroes of a quadratic function.
Complex Conjugate A complex conjugate is a pair of numbers that have the same real components but opposite imaginary components. Example 1 + 2i is the complex conjugate of 1 - 2i
Vertex The lowest (minimum) or highest (maximum) point on a parabola. Also, the point where the curve changes directions; (h,k)
Standard Form y = ax^2 + bx + c where a, b, and c are parameters.
Vertex Form y = a(x - h)^2 + k where a, h, and k are parameters and the vertex of the parabola is (h, k)
Vertical Stretch When the parent graph of a quadratic is narrowed, or vertically stretched, to get closer to the y-axis. Occurs when we change the a value in the vertex form or standard form of a quadratic equation, when a > 1.
Horizontal Stretch When the parent graph of a quadratic is widened, or horizontally stretched, to get closer to the x-axis. Occurs when we change the a value in the vertex form or standard form of a quadratic function, when a < 1.
Vertical Shift When the parent graph of a quadratic is shifted up or down along the y-axis. Occurs when we change the k value in the vertex form of a quadratic function.
Horizontal Shift When the parent graph of a quadratic equation is shifted right or left along the x-axis. Occurs when we change the value of h in the vertex from of a quadratic equation. (x-h) moves h units right and (x + h) moves h units left.
Created by: kmvolz2