Which equation represents the function graphed on the coordinate plane?
2 answers:
Answer:
<h2>B. g(x) = |x + 4| – 10.</h2>Step-by-step explanation:
The second option shows the function represented in the given graph.
Basically, the graph shows an absolute value function, because it has the form of a "V".
We know that the parent function of this is , which is the simplest form of a value absolute function. So, we can get the right answer by just applying all given transformations to the parent function.
In the graph we see that the function was move 10 units downside, and 4 units to the left. This means that the function has to have "-10" and "+4", where the negative indicates the downside movement, and the positive sign indicates the left-side movement.
It's important to remember that, in case of horizontal displacement, with add to move to the left, and we subtract to move to the right.
Applying these translation to the parent function, we have
Therefore, the right answer is option B.
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<h3>Answer: Parallelogram</h3>
You could use the parallelogram rule to add the vectors, or you could use the tip-to-tail method (your textbook might call it the "head to tail method" but it's the same idea).
An example of the parallelogram method is shown below with adding the vector u = (-4,4) in red to the vector v = (8,2) in blue to get the vector w = (4,6) in green. The green resultant vector is one of the diagonals of the parallelogram
Side note: The other diagonal is either u-v or v-u depending on your reference point.