Step-by-step explanation:
y = 2kx², where k is a real constant.
We have:
2k(1)² - 2k(3)² = 32 or 2k(3)² - 2k(1)² = 32.
=> 2k - 18k = 32 or 18k - 2k = 32
=> -16k = 32 or 16k = 32
=> k = -2 or k = 2.
When x = -2,
y = 2(-2)(-2)² or y = 2(2)(-2)².
=> y = -16 or y = 16.
