Alicia is writing the program for a video game. For one part of the game she uses the rule (x, y ) → ( − 2, y + 5) to move points on the screen.

(a) What output does the rule give when the input is

( -6,0) ? Show your work.

(b) What output does the rule give when the input is

(3, -4)? Show your work.

(c) Is the rule a function? Explain why it is or why it is not.

How many real-number solutions does the equation have? -4x^2 + 10x + 6 = 0 a. no solutions b. two solutions c. infinitely many solutions d. one solution

The coordinates of vortex a’ are (8,4) (-4,2) (4,-,4) the coordinates of vortex b’ are (6,6)(12,-,12)(12,12) the coordinates of vortex c’ are(-2,,12)(4,12)(12,-4)

The weight of a radioactive isotope was 96 grams at the start of an experiment. after one hour, the weight of the isotope was half of its initial weight. after two hours, the weight of the isotope was half of its weight the previous hour. if this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time? a. graph w b. graph x c. graph y d. graph z