y = x^3
Sequentially....we have
1 - Vertcal stretch by a factor of 3 ⇒ y = 3x^3
2 - Shift 4 units to the left ⇒ y = 3(x + 4)^3
3 - Shift 3 units down ⇒ y = 3(x + 4)^3 - 3
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P = kv^3 we need to find the variation constant, k
500 = k (10)^3
500 = k * 1000 divide both sides by 1000
(1/2) = k
So at v = 12 m/s , we have that
P = (1/2) (12)^3
P = (1/2) (1728)
P = 864 kW