The value of y when x=-2 is equals to 16 for the condition y is directly proportional to x².
As given in the question,
y is directly proportional to x².
Difference in the value of y when x= 1 and x=3 is 32.
According to the given condition,
y ∝ x²
⇒y =kx² _____(1)
⇒ 32 = k (3)² - k(1)²
⇒ 32 = k (9 -1)
⇒ 32 = 8k
⇒k = 4
Calculate the value of y for x = -2 by substituting value of k in (1) we get,
y = 4 (-2)²
⇒ y = 4 × 4
⇒ y=16
Therefore, the value of y when x=-2 is equals to 16 for the condition y is directly proportional to x².
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