Suppose the graph of fis given. Describe how the graph of each function can be obtained from the graph of f. (a) y = f(x + 6) + 2
shift 6 units to the left and 2 units upward
shift 2 units to the right and 6 units upward
shift 6 units to the left and 2 units downward
shift 6 units to the right and 2 units upward
shift 2 units to the right and 6 units downward
x
(b) y = f(x - 9) - 3
shift 3 units to the right and 9 units downward
shift 9 units to the right and 3 units downward
shift 9 units to the left and 3 units downward
shift 3 units to the left and 9 units upward
o shift 9 units to the right and 3 units upward
X

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

Consider the proof. given: segment ab is parallel to line de. prove: what is the missing statement in step 5?

Factor the following expression. 27y3 – 343 a. (3y + 7)(9y2 + 2ly + 49) b. (3y – 7)(9y2 + 2ly + 49) c. (3y – 7)(932 – 217 + 49) d. (3y + 7)(92 – 2ly + 49)