Question

Whats the answer bye

Answer 1

• A (graph below)

1. Not appropriate
2. Appropriate
3. Not appropriate

Explanation:

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

1. 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.
2. 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.
3. 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.

Answer 2

Problem One: A

Problem Two: Not appropriate, Appropriate, Appropriate.

Explanation:

Problem One

Thank you for such neat graphs. Makes it easier to answer.

g(x) is shifted 4 units down (-4) and 2 units to the left. That hump in the middle must be moved 2 units left and 4 units down. That's one of the ways you can tell. The answer is certainly not B. The hump is going right and not left.

The same is true of D. So D is not the answer.

C: The hump is going up. It should go down.

The answer is A

See the graph below.

Red: f(x) = cube root (x)

Blue: g(x) = cube root(x + 2) - 4

Problem Two

Not appropriate. This is too selective about what people are doing.

I would say middle one is appropriate, but there are better ways of doing a 50/50 split is that is what you are after.

I don't know how the last one works, but it seems OK. Appropriate.