Answer: 11.4
Step-by-step explanation:
Using the distance formula,

Answer:
Changing g(x) to this form: a(x-h) + k, we have:
g(x) = 4 (x+3)^2 - 6
Comparing this to the original equation, f(x) = x^2, we have the following transformations:
The graph is widened.
The graph is shifted left 3 units.
Answer:
81 meters.
Step-by-step explanation:
The height (in meters), h(x) of a hovercraft x seconds after takeoff, is modeled by:

We are to determine its height at the time of takeoff.
Now, at the time of takeoff, x=0.
We substitute x=0 to solve for h.

The height of the hovercraft at takeoff is 81 meters.