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Quadratics - Volz
Quadratic Equation Vocabulary For Algebra 2
Question | Answer |
---|---|
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. |