write a rule to describe the translation of a point from (-3 3) to (-2 2) A)
(x,y) -> (x+1,y-1)
so, move right 1 and down 1
It usually helps to plot the points on some graph paper, eh?
To describe the translation of a point from (-3, 3) to (-2, 2), we can use the following rule:
To translate a point (x, y) to a new point (x', y'), we add the same amount to both the x-coordinate and y-coordinate.
In this case, to find the new x-coordinate, we add 1 to the original x-coordinate:
x' = x + 1
And to find the new y-coordinate, we subtract 1 from the original y-coordinate:
y' = y - 1
Applying this rule to the original point (-3, 3), we get the translation to (-2, 2) as follows:
x' = -3 + 1 = -2
y' = 3 - 1 = 2
Therefore, the rule for translating the point (-3, 3) to (-2, 2) is: (x, y) -> (x + 1, y - 1)
To describe the translation of a point from (-3,3) to (-2,2), we need to find the change in coordinates for both the x-axis and the y-axis.
For the x-axis, we observe that the x-coordinate has increased by 1 unit (from -3 to -2). This indicates a translation to the right.
For the y-axis, we observe that the y-coordinate has decreased by 1 unit (from 3 to 2). This indicates a translation downwards.
Combining these observations, we can write the rule for the translation as follows:
To translate a point from (-3,3) to (-2,2), add 1 unit to the x-coordinate and subtract 1 unit from the y-coordinate.
Rule:
(x, y) → (x + 1, y - 1)