The standard equation is: y = (-2)x² + 8x + 5
A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0, with a ≠ 0 .
We know,
y = ax² + bx + c
For (-1, -5)
-5 = a - b + c..................(1)
For (0, 5)
5 = c
For (1, 11)
11 = a + b + c.....................(2)
From (1) and (2), we get
a=-2
and b= 8
Hence, the standard equation is:
y = (-2)x² + 8x + 5
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