The graphs of functions f(x) and g(x) = f(x) + k are shown below. Graph of line f of x going through ordered pairs 0, 1 and 2, 6
2 answers:
The cut point with the y axis for both graphs occurs when x = 0
We have then:
For f (x):
The cut point with the y axis is:
For g (x):
The cut point with the y axis is:
Therefore, the value of k is given by the vertical displacement of the graph k units.
We have then:
From here, let's clear k:
Answer:
The value of k is -2
We have then:
For f (x):
The cut point with the y axis is:
For g (x):
The cut point with the y axis is:
Therefore, the value of k is given by the vertical displacement of the graph k units.
We have then:
From here, let's clear k:
Answer:
The value of k is -2
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and
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The range of the rocket is the distance between the rocket's final position and the origin (0, 0, 0):
c. The rocket reaches its maximum height when its vertical velocity (the -component) is 0, at which point we have