Which statement correctly describes the relationship between the graph of f(x) and the graph of g(x)=f(x)-1?

a. the graph of g(x) is the graph of f(x) translated 1 unit up.
b. the graph of g(x) is the graph of f(x) translated 1 unit right.
c. the graph of g(x) is the graph of f(x) translated 1 unit down.
d. the graph of g(x) is the graph of f(x) translated 1 unit left.

Asquare has a side that measures 11 units. what is the area of a circle with a circumference that equals the perimeter of the square? use 3.14 for π, and round your answer to the nearest hundredth. 1519.76 units2 379.94 units2 616.56 units2 154.14 units2

If abcde is reflected over the x-axis and then translated 3 units left, what are the new coordinates d? are he re

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.