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Use a system of equations to solve the following problems. See the earlier examples.

What choice of a, b, and c will force the graph of the polynomial f(x)=ax2+bx+cf(x)=a x^2+b x+c to have a yy-intercept of 5 and to pass through the points (1,3)(1,3) and (2,0)(2,0)?


Answered 2 years ago
Answered 2 years ago
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Polynomial: f(x)=ax2+bx+cY-Intercept: 5Passes through Points: (1,3) and (2,0)\begin{aligned} \text{Polynomial: }&f(x)=ax^2+bx+c\\ \text{Y-Intercept: }&5\\ \text{Passes through Points: }&(1,3)\text{ and }(2,0) \end{aligned}

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