The curve of the quadratic function $$ f: f(\chi)=-a x^{2}+b x+c $$ is drawn on the cartesian coordinate and the vertex of the curve is $$ (3,1) $$, the curve intersects the $$ \chi $$-axis twice where $$ a, b $$, are constants which of the following could be a value of $$ c $$ $$ \begin{array}{lll} ext { (a) }-8 & ext { (b) } 2 & ext { (c) } 3\end{array} $$

Question

The curve of the quadratic function $$ f: f(\chi)=-a x^{2}+b x+c $$ is drawn on the cartesian coordinate and the vertex of the curve is $$ (3,1) $$, the curve intersects the $$ \chi $$-axis twice where $$ a, b $$, are constants which of the following could be a value of $$ c $$ $$ \begin{array}{lll}	ext { (a) }-8 & 	ext { (b) } 2 & 	ext { (c) } 3\end{array} $$

Huang Dunn · Accepted Answer

The possible value of $$ c $$ is $$-8$$.

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