Jason jumped off a cliff into the ocean in Acapulco, while visiting some friends who live there. His height as a function of time could be modeled by the function h(t) = -16t2 + 16t + 480, where t is the time in seconds and h is the height in feet. How long did it take Jason to reach his maximum height? What was the highest point that Jason reached?

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

the answer is b.

64

step-by-step explanation:

c=2πr=2·π·8≈64