Given g(x)= x^2 -8x -20 which statement is true?

1 answer

There are multiple possible true statements about the function g(x)= x^2 -8x -20, depending on the context. Here are three examples:

1. g(x) is a second-degree polynomial function with a negative constant term (-20), which means the graph of g(x) opens upwards and crosses the x-axis at two points.
2. The vertex of the parabola formed by graphing g(x) is located at the point (4,-36), which can be found by completing the square on the original function.
3. The zeros (or x-intercepts) of g(x) are approximately -1.6 and 9.6, which can be found using the quadratic formula or by factoring the polynomial (g(x)=(x-10)(x+2)).
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