The graph of the quadratic trinomial y=ax2+bx+c has its vertex at (4, -5) and two x-intercepts, one positive and one negative. Which of the following holds good?

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a > 0

b < 0

c < 0

8a = b

answer is A.

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Detailed Solution

From figure,a > 0−b2a=4 or −b2a>0∴ b<0 f(0)=c<0Also, −b2a=4 or 8a+b=0

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