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Question

For the given graph of the quadratic polynomial y=ax2+bx+c as shown below. Select the correct options.

A
a>0
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B
b>0
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C
b24ac>0
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D
c<0
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Solution

The correct option is D c<0The graph of the quadratic polynomial y=ax2+bx+c is given as: The graph is an upward opening parabola ⇒a>0. Also, the graph is cutting the x− axis at two separate points ∴D>0⇒b2−4ac>0 The vertex lies in the 4th quadrant, Thus, the x− coordinate of the vertex should be positive. ⇒−b2a>0∵a>0⇒b<0. Now, one root is positive, while other is negative. ⇒ Product of Roots =ca<0⇒c<0

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