What is the equation of the graph obtained when the parent graph y=x^3 translated 4 units left and 7 units down?

y = (x + 4)³ - 7

Step-by-step explanation:

Parent function describes the general formula of a graph without a translation, or shift of any kind.  When considering how these shifts affect the graph, a translation to the left or right would affect the x-axis and a translation up or down would affect the y-axis.  When the x-axis is affected, that constant must be connected to the variable 'x', while a movement up or down must be separated and connected to the variable 'y'.  In the case of the parent function y = x³, adding '4' to the variable 'x' would shift the graph left and subtracting the '7' as a constant of the expression would move the graph down:

y = (x + 4)³ - 7

Step-by-step explanation:

500 ton = 500000 kg

90 ft = 27,4 m

1 h = 3600 s

P = m g h / t = 500000 kg . 9,80 m/s² . 27,4 m / 3600 s ≈ 37300 W

P = 37300 W . 1 HP / 744,8 W = 50 HP