Math  /  Word Problems

QuestionFind the complex zeros of f(x)=2x2+16x23f(x)=-2 x^{2}+16 x-23 and graph it, labeling the intercepts. Express zeros as a+bia + bi.

Studdy Solution
Now, let's graph the function and label the intercepts.
The x-intercepts are the zeros of the function, which we found in the previous steps. The y-intercept is the value of the function at x=0x =0, which is f(0)=23f(0) = -23.
The graph of the function is a downward-opening parabola with x-intercepts at 4+34 + \frac{3\sqrt{}}{} and 434 - \frac{3\sqrt{}}{}, and a y-intercept at -23.

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