Which transformations of graph of f(x) = 3^x result in the graph of f(x) = 3 * 3^ -2x? Horizontal dilation by 2 and vertical dilation by 3, horizontal dilation by 0.5, vertical dilation by 3, reflection over the x axis, vertical dilation by 2, horizontal dilation by 3, reflection over the x axis and y axis, horizontal dilation by by 0.5, vertical dilation by 3, reflection over the y axis

The ratio of blue cards to green cards is 2 to 5. there are 8 blue cards. complete the diagram and explain how you can find the number of green cards.

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4