Which answer describes the pattern in this sequence? −4, −2, 0, 2, ...
1 answer:
<h3>Answer:</h3>
Add 2
<h3>Step-by-step explanation:</h3>This sequence is an arithmetic sequence, not a geometric sequence, because it is adding/subtracting instead of multiplying/dividing.
We need to find the common difference, or the number that is added each time to get the next number in the sequence. This is fairly simple in this case. It is 2.
We know this because each number in the sequence is 2 more than the last.
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General Idea:
When a point or figure on a coordinate plane is moved by sliding it to the right or left or up or down, the movement is called a translation.
Say a point P(x, y) moves up or down ' k ' units, then we can represent that transformation by adding or subtracting respectively 'k' unit to the y-coordinate of the point P.
In the same way if P(x, y) moves right or left ' h ' units, then we can represent that transformation by adding or subtracting respectively 'h' units to the x-coordinate.
P(x, y) becomes . We need to use ' + ' sign for 'up' or 'right' translation and use ' - ' sign for ' down' or 'left' translation.
Applying the concept:
The point A of Pre-image is (0, 0). And the point A' of image after translation is (5, 2). We can notice that all the points from the pre-image moves 'UP' 2 units and 'RIGHT' 5 units.
Conclusion:
The transformation that maps ABCD onto its image is translation given by (x + 5, y + 2),
In other words, we can say ABCD is translated 5 units RIGHT and 2 units UP to get to A'B'C'D'.