Question

Math

Posted 3 months ago

```
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
```

Sign in to unlock the answer

Answer from Sia

Verified answer

Posted 3 months ago

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 $h(x)$.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages

Strong algorithms that better know you

Early access to new release features

Study Other Question