Answer: The graph is shifted vertically, but not horizontally
Step-by-step explanation:
Since the added constant is outside the x term, the constant will only shift the graph vertically.
Swimmer a swims 100 meters, which is 100 1-meters, which is 100
(1 yards +3.37 inches) = 100 yards + 337 inches.
1 yard is 3 feet, so 100 yards are 300 feet.
100 in is 8.33 feet so
337 in is (337*8.33)/100=28.07 feet
Swimmer b swims 100 yards, which is 300 feet
Swimmer a swam 28.07 feet.
Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|
Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5
Required answer is f(x) = one fourth (x - 3)^2 + 5
