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

Identify takeoff time: Identify the time of takeoff. The time of takeoff is when x = 0, since x represents the time in seconds after takeoff.Substitute x = 0: Substitute x = 0 into the height equation. We have the equation h(x) = -3(x - 3)² + 108. To find the height at takeoff, we substitute x = 0 into this equation. h(0) = -3(0 - 3)² + 108Calculate height at takeoff: Calculate the height at takeoff. h(0) = -3(0 - 3)² + 108 h(0) = -3(-3)² + 108 h(0) = -3(9) + 108 h(0) = -27 + 108 h(0) = 81

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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. $\newline$ Its height (in meters), $\newline$ $x$ seconds after takeoff, is modeled by: $\newline$ $h(x) = -3(x - 3)^{2} + 108$ $\newline$ What is the height of the hovercraft at the time of takeoff? $\newline$ $\text{meters}$

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Q. A hovercraft takes off from a platform.

\newline

Its height (in meters),

\newline

x

seconds after takeoff, is modeled by:

\newline

h(x) = -3(x - 3)^{2} + 108

\newline

What is the height of the hovercraft at the time of takeoff?

\newline

\text{meters}

Identify takeoff time: Identify the time of takeoff. $\newline$ The time of takeoff is when $x = 0$ , since $x$ represents the time in seconds after takeoff.
Substitute $x = 0$ : Substitute $x = 0$ into the height equation. $\newline$ We have the equation $h(x) = -3(x - 3)^2 + 108$ . To find the height at takeoff, we substitute $x = 0$ into this equation. $\newline$ $h(0) = -3(0 - 3)^2 + 108$
Calculate height at takeoff: Calculate the height at takeoff. $\newline$ $h(0) = -3(0 - 3)^2 + 108$ $\newline$ $h(0) = -3(-3)^2 + 108$ $\newline$ $h(0) = -3(9) + 108$ $\newline$ $h(0) = -27 + 108$ $\newline$ $h(0) = 81$