TS EAMCET 6-Aug-2021 Shift 1 Question Paper

Let equation of parabola is
y=ax2+bx+c . . . (i)
Eq. (i) passes through (1,−3),(−1,5) and (0,2).
So, ‌‌a+b+c=−3‌‌... (ii)
⇒‌‌a−b+c=5. . . (iii)
⇒ c=2. . . (iv)
From Eqs. (ii), (iii) and (iv), From Eq. (i),
‌‌a=−1,b=−4,c=2
∵(2,k) lies on the above parabola.
∵(2,k) lies on the above parabola.
∴‌‌k=−4−8+2=−10