The point C(3, -1) is translated to the left 4 units and up 1 unit.
a. Write the rule for this translation.
b.What are the coordinates of the image point?
A.(x,y)=(x+4,y+1); (7, -2)
B(x,y)=(x-4,y-1); (-1, 0)
C.(x,y)=(x+4,y+1); (-1, 0)
D.(x,y)=(x-4,y+1); (-1, 0)
well,
right and up are in a positive direction (add to x,y)
left and down are in a negative direction (subtract from to x,y)
NOW what would you say?
Just draw a graph. See how it works. By the way, can you tag on a picture on this response?
It's been 3 YEARS...
To determine the correct answer, we need to understand what it means to translate a point.
When a point is translated, it is moved without changing its size, shape, or orientation. Translations involve shifting the position of a point horizontally (left or right) and vertically (up or down) in a coordinate plane.
In this case, the point C(3, -1) is translated to the left 4 units and up 1 unit.
a. To write the rule for this translation, we need to determine how the x-coordinate and y-coordinate change.
For the x-coordinate, the point is translated to the left 4 units, which means we subtract 4 from the original x-coordinate.
For the y-coordinate, the point is translated up 1 unit, which means we add 1 to the original y-coordinate.
Thus, the rule for this translation is:
(x, y) = (x - 4, y + 1)
b. Now, we can apply the rule to determine the coordinates of the image point.
Using the rule (x, y) = (x - 4, y + 1) with the original coordinates C(3, -1), we substitute the values:
(x, y) = (3 - 4, -1 + 1)
(x, y) = (-1, 0)
Therefore, the coordinates of the image point after the translation are (-1, 0).
The correct answer is:
D. (x, y) = (x - 4, y + 1); (-1, 0)