Asked by gpnkumar0 | 8th Jun, 2017, 05:12: PM

Expert Answer:

begin mathsize 16px style We space observe space that space straight y equals ax squared plus bx plus straight c space represents space straight a space parabola space opening space downwards.
therefore space straight a space less than space 0
The space vertex space of space the space parabola space is space in space 2 nd space quadrant.
therefore minus fraction numerator straight b over denominator 2 straight a end fraction less than 0
rightwards double arrow negative straight b greater than 0
rightwards double arrow straight b less than 0
Now comma space straight f left parenthesis 0 right parenthesis greater than 0 space as space parabola space cuts space positive space straight Y minus axis.
rightwards double arrow straight c greater than 0
Thus comma space we space have space straight a less than 0 comma space straight b less than 0 space and space straight c greater than 0.
Hence comma space correct space option space is space left parenthesis straight a right parenthesis. end style

Answered by Rashmi Khot | 9th Jun, 2017, 09:45: AM