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.
There are several ways in which we could answer this question. My choice is to actually solve the given quadratic equation, x^2 + 4x + 4 = 12.
Note that x^2 + 4x + 4 is a perfect square. Thus,
x^2 + 4x + 4 = 12 is the same as (x+2)^2 = 12, so that
x+2 = plus or minus √3*√4, or plus or minus 2√3.
Thus, the two real, unequal roots are
x = -2 + 2√3 and x = -2 - 2√3. These correspond to answer choices C and E.
Answer: The graph of f(x) is horizontally stretched
Answer:
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ENXIDI
Step-by-step explanation:
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