We assume w is the number of <em>inches</em> of width (as opposed to <em>feet</em> or some other measure). The length is 7 inches more than the width, so is w+7. The area is the product of these dimensions, and the problem statement tells us that area is greater than 375 in².
... w(w+7) > 375 . . . . . the inequality that can be used to find dimensions
The parent function is f(x) = ∛x
When you change the sign to get g(x) = - ∛x you are reflecting the function over the x-axis (because you are changing the sign of all the images).
When you do g(x + 8) to get h(x) = - ∛ (x + 8) you are shifting the functions 8 units to the left.
Therefore, the answer is the fourth option: reflect the parent function over the x-axis and translate it 8 units to the left.
