Answer:
The first thing you ever do when simplifying an expression is distributing the coefficient. For example the expression 3(5x+6+4x) The first thing we would do is distribute the 3 into each value in the parantheses. It would make sense to add the 4x and 5x, but that goes out of order. This is just the rules when it comes to follwing distributive property in it's simplest form.
By making three groups, you can take all the information and find out how many people like each drink, there are 47 people in each group, so 47 people are accounted for. 50-47=3.
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.
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