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The graph of the quadratic trinomial u=a...

The graph of the quadratic trinomial `u=a x^2+b x+c` has its vertex at (4, -5) and two x-intercepts, one positive and one negative. Which of the following holds good? `a >0` b. `b<0` c. `<0` d. `8a=b`

A

`a gt 0 `

B

`b lt 0 `

C

` c lt 0 `

D

`8 a= b`

Text Solution

Verified by Experts

The correct Answer is:
1,2,3
From figure,
`a gt 0 `
` - (b)/(2a) = 4 or - (b)/(2a) gt 0 `
` therefore b lt 0 `
` f (0) = c lt 0 `
Also , ` - (b)/(2a) = 4 or 8 a + b = 0 `
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