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y = -2x² + x
y = -2 [ x² - (x/2) ]
y = -2 [ x² - (x/2) + (1/4) ] + (1/2)
y = (1/2) - 2[ x - (1/2) ]² ≤ (1/2)
Hence, the Range of y is : -∞ < y ≤ (1/2).
It can be written as the interval ( -∞, 1/2 ]. ........ Ans.
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