Answer: Option C
Step-by-step explanation:
If the graph of the function represents the transformations made to the graph of
then, by definition:
If the graph moves vertically upwards.
If the graph moves vertically down
In this problem we have the function and our parent function is
therefore it is true that
Therefore the graph of is moves vertically upwards by a factor of 5 units.
The answer is the Option C: "The graph of g(x) is the graph of f(x) shifted up 5 units"
Bearing is a topic that can be used to <u>locate</u> the <em>position</em> of an object at a given time. Therefore, the blimp is <em>80 m</em> far away from its <u>starting</u> point. And in the<em> North-East </em>direction.
The <u>speed</u> of an object relates the <em>distance</em> it covers to the <u>time taken</u> to cover the said distance.
i.e speed =
⇒ distance = speed x time taken
In the given question, the <u>initial</u> distance covered can be determined as;
distance = 40 mph x 3 h
= 120 m
The<u> final </u>distance covered can be determined as;
distance = 40 mph x 1 h
= 40 m
Let the <u>distance</u> from its <em>starting</em> point to its <em>fina</em>l location be represented by x.
Thus applying the<em> Cosine rule</em>, we have:
=
+
- 2abCos C
=
+
- 2(120 x 40) Cos 90
= 14400 + 1600 - 9600
= 16000 - 9600
= 6400
x =
= 80
x = 80 m
Therefore, the <u>distance</u> of the blimp from its <em>starting</em> point to its <em>final</em> destination is <u>80 m</u>.
For more clarifications on bearings, visit: brainly.com/question/22979472
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