3. A city parks and recreation department needs to relocate a swing set so that it is farther away
from a new jungle gym that is being installed. The swing set will be reset 48 feet north and 16
feet east of its original position. Assuming the positive y-axis on a coordinate plane is north,
which function represents the translation coordinates of the swing set?
A. (x, y) →(x-16, y - 48)
8. (x, y) → (x + 48, y + 16)
C. (x, y) =(x + 16, y +48)
D. (x, y) →x - 48, y - 16)

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm