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+180What is the height of the object at the time of launch? meters
Q. 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+180What is the height of the object at the time of launch? meters
Identify Launch Time: Identify the time of launch.The time of launch is when x=0 seconds, since x represents the time after the launch.
Substitute x=0: Substitute x=0 into the height equation.h(x)=−5(x−4)2+180h(0)=−5(0−4)2+180
Calculate Launch Height: Calculate the height at the time of launch.h(0)=−5(−4)2+180h(0)=−5(16)+180h(0)=−80+180h(0)=100
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