The graph of y = ax^2 + bx + c is shown. Whic | vedclass

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Question

(C) From the graph,the parabola opens upwards,so $a > 0$.
The $y$-intercept is above the $x$-axis,so $c > 0$.
The vertex has a positive $x$-co

Vedclass · Accepted Answer

$ab^3c^5 > 0$

Vedclass · Answer

(C) From the graph,the parabola opens upwards,so $a > 0$. The $y$-intercept is above the $x$-axis,so $c > 0$. The vertex has a positive $x$-coordinate,$-b/(2a) > 0$. Since $a > 0$,we must have $-b > 0$,which implies $b < 0$. Now,let us evaluate the options: $A) ab^2c^3 = (+)(+)(+) = (+) > 0$ (Holds good) $B) ab^3c^2 = (+)(-)(+) = (-) < 0$ (Holds good) $C) ab^3c^5 = (+)(-)(+) = (-) < 0$. Thus,$ab^3c^5 > 0$ does $NOT$ hold good. $D)$ Since the graph intersects the $x$-axis at two distinct points, the discriminant $D = b^2 - 4ac > 0$, so $b^2 > 4ac$ (Holds good).

The graph of $y = ax^2 + bx + c$ is shown. Which of the following does $NOT$ hold good?

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