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An object is launched from a platform.
Its height (in meters), 
x seconds after the launch, is modeled by:

h(x)=-5(x-4)^(2)+180
What is the height of the object at the time of launch?
meters

An object is launched from a platform. Its height (in meters), xx seconds after the launch, is modeled by:\newlineh(x)=5(x4)2+180h(x)=-5(x-4)^{2}+180\newlineWhat is the height of the object at the time of launch? meters\text{meters}

Full solution

Q. An object is launched from a platform. Its height (in meters), xx seconds after the launch, is modeled by:\newlineh(x)=5(x4)2+180h(x)=-5(x-4)^{2}+180\newlineWhat is the height of the object at the time of launch? meters\text{meters}
  1. Identify Launch Time: Identify the time of launch.\newlineThe time of launch is when x=0x = 0 seconds, since xx represents the time after the launch.
  2. Substitute x=0x=0: Substitute x=0x = 0 into the height equation.\newlineh(x)=5(x4)2+180h(x) = -5(x-4)^2 + 180\newlineh(0)=5(04)2+180h(0) = -5(0-4)^2 + 180
  3. Calculate Launch Height: Calculate the height at the time of launch.\newlineh(0)=5(4)2+180h(0) = -5(-4)^2 + 180\newlineh(0)=5(16)+180h(0) = -5(16) + 180\newlineh(0)=80+180h(0) = -80 + 180\newlineh(0)=100h(0) = 100

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