The graph of p(x) = -x^2 + x + 6 is a........ | vedclass

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(D) The given polynomial is a quadratic polynomial of the form $p(x) = ax^2 + bx + c$,where $a = -1$,$b = 1$,and $c = 6$.Since the degree of the polyn

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parabola open downwards

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(D) The given polynomial is a quadratic polynomial of the form $p(x) = ax^2 + bx + c$,where $a = -1$,$b = 1$,and $c = 6$.Since the degree of the polynomial is $2$,its graph is a parabola.In a quadratic polynomial $ax^2 + bx + c$,if $a > 0$,the parabola opens upwards,and if $a Here,$a = -1$,which is less than $0$.Therefore,the graph of $p(x) = -x^2 + x + 6$ is a parabola opening downwards.

The graph of $p(x) = -x^2 + x + 6$ is a.........

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