Answer:
2.2 seconds.
Step-by-step explanation:
We have been given that an astronaut on the moon drops a tool from the door of the landing ship. The quadratic function 
models the height of the tool, in meters, after x seconds.
To find the time, it will take for the tool to hit the surface of moon, we will set 
and solve for x as:
Divide both sides by negative 2:
Now, we will take square root of both sides:
Since time cannot be negative therefore, it will take 2.2 seconds for the tool to hit the surface of the moon.
3x^2- 27 … you divide the whole thing by 3 to get x^2- 9 and that’s the furthest you can simplify
We are given with the data of a parabola with vertex at (2, 2) and directrix at <span>y = 2.5. the formua should be ax^2 + b x + c = y because of the directrix.
(x-h)^2 = 4a (y-k)
(x-2)^2 =4a (y-2)
a is the equidistant distance from focus to vertex and from vertex to directrix that is equal to -0.5
then the answer is
</span>(x-2)^2 =-0.5*4 (y-2)
<span>x2 - 4x + 4 = -2y +4
x2-4x+2y = 0
answer is C
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