<h3>Answer:</h3>
- A (graph below)
- Not appropriate
- Appropriate
- Not appropriate
1st Question
The transformation g(x) = f(x -h) +k translates a function h units to the right and k units upward. Your expression has (h, k) = (-2, -4), so the graph of the function will be translated 2 units left and 4 units down.
A distinctive feature of the cube root curve is the vertical spot normally at point (0, 0). You're looking for the graph that has that relocated to (-2, -4). Graph A matches that.
2nd Question
- The method described is a reasonable one for choosing a random sample of theater patrons, but there is no reason to believe theater patrons are representative of all drivers in the city. The method is not appropriate.
- Provided the persons in the study are representative of the demographic of interest, assigning them to study groups based on the flip of a coin is appropriate.
- The variable under study is previous exposure to chicken pox, so members of the study groups need to be chosen on that basis. Participants in the study need to be carefully selected to control for all other variables. The group assignment described is not appropriate.