![]() ![]() The graph of any quadratic function will be a parabola.ġ8. If one root is equal to other root but opposite in sign then their sum = 0. If one zero is reciprocal to the other root then their product c/a = 1 or c = a.ġ6. The product of the zeros of the quadratic function f(x) = ax 2 + bx + c is c/a.ġ5. The sum of the zeros of the quadratic function f(x) = ax 2 + bx + c is -b/a.ġ4. ![]() That is, if (m + √n)is a root, then (m - √n) is the other root of the same equation.ġ3. If the two zeros of a quadratic function are irrational, then the two zeros (roots) will occur in conjugate pairs. There are three methods to find the two zeros (x-intercepts) of a quadratic function. If the graph of a quadratic function opens up and the vertex is below the x-axis or if the graph opens down and the vertex is above the x-axis, then there will be two x-intercepts.ġ1. The x-axis or if the graph opens down and the vertex is below the x-axis,ĩ. If the vertex is touching the x-axis, then there is one x-intercept regardless of whether the graph opens up or down.ġ0. The number of x-intercepts of a quadratic function depends on whether the graph opens up or down and it also depends on whether the vertex is above or below the x-axis.Ĩ. If the graph of a quadratic function opens up and the vertex is above The zeros of a quadratic function f(x) = ax 2 + bx + c are the two x-intercepts of the parabola.ħ. The zeros of a quadratic function f(x) = ax 2 + bx + c are the two values of x when f(x) = 0 or ax 2 + bx + c = 0.Ħ. (ii) if a < 0 (parabola opens down), the range is (-∞, k].ĥ. In f(x) = a(x - h) 2 + k, if a > 0, the parabola opens up and if a 0 (parabola opens up), the range is [k,∞). The vertex form of a quadratic function isģ. The graph of a quadratic function is a parabola.Ģ. ![]() The domain of a quadratic function f(x) = ax 2 + bx + c is all real numbers. ![]()
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