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?
$\square$ meters

Question

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?
$\square$ meters

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Substitute $x = 0$ into the function $h(x) = -3(x - 3)^2 + 108$ to find the height at takeoff. ‖ ‖ step 2 ⋮ Calculate $h(0) = -3(0 - 3)^2 + 108$. ‖ ‖ step 3 ⋮ Simplify the expression: $h(0) = -3(-3)^2 + 108 = -3(9) + 108$. ‖ ‖ step 4 ⋮ Compute the value: $h(0) = -27 + 108 = 81$. ‖ ∻Answer∻ ⚹ 81 meters ⚹ ∻Key Concept∻ ⚹Substituting a value into a function⚹ ∻Explanation∻ ⚹To find the height of the hovercraft at takeoff, we substitute the time of takeoff ($x = 0$ seconds) into the height function $h(x)$.⚹◊What is the algebraic expression for the height of the hovercraft at $x=0$ seconds after takeoff?⍭ Generate me a similar question◊

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