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A hovercraft takes off from a platform. Its height (in meters), x seconds after takeoff, is modeled by: h(x)=-3(x-3)^(2)+108 What is the height of the hovercraft at the time of takeoff? meters

A hovercraft takes off from a platform.\newlineIts height (in meters), \newlinex x seconds after takeoff, is modeled by:\newlineh(x)=−3(x−3)2+108 h(x) = -3(x - 3)^{2} + 108 \newlineWhat is the height of the hovercraft at the time of takeoff?\newlinemeters \text{meters}

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Q. A hovercraft takes off from a platform.\newlineIts height (in meters), \newlinex x seconds after takeoff, is modeled by:\newlineh(x)=−3(x−3)2+108 h(x) = -3(x - 3)^{2} + 108 \newlineWhat is the height of the hovercraft at the time of takeoff?\newlinemeters \text{meters}
  1. Identify takeoff time: Identify the time of takeoff.\newlineThe time of takeoff is when x=0x = 0, since xx represents the time in seconds after takeoff.
  2. Substitute x=0x = 0: Substitute x=0x = 0 into the height equation.\newlineWe have the equation h(x)=−3(x−3)2+108h(x) = -3(x - 3)^2 + 108. To find the height at takeoff, we substitute x=0x = 0 into this equation.\newlineh(0)=−3(0−3)2+108h(0) = -3(0 - 3)^2 + 108
  3. Calculate height at takeoff: Calculate the height at takeoff.\newlineh(0)=−3(0−3)2+108h(0) = -3(0 - 3)^2 + 108\newlineh(0)=−3(−3)2+108h(0) = -3(-3)^2 + 108\newlineh(0)=−3(9)+108h(0) = -3(9) + 108\newlineh(0)=−27+108h(0) = -27 + 108\newlineh(0)=81h(0) = 81

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