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Writing a quadratic function from its `x`-intercepts and an additional point involves finding the equation using two `x`-intercepts and a third point. First, identify the `x`-intercepts from the two points where the `y`-coordinate is `0`. Then, use the third point to determine the coefficient \(a\) in the quadratic function. The function is represented as \( f(x) = a(x - p)(x - q) \), where \(p\) and \(q\) are the `x`-intercepts.

Algebra 2

Quadratic Functions