Translate the point (5, 5) to the new origin given (h, k). Given center (h, k) = (- 3, - 3), find point (x', y').
Translate the point (- 8, - 8) to the new origin given (h,k). Given center (h,k) = (- 3, - 3), find point ( x', y').
It is pre-cal
The rule (h,k) means add h to x- and k to the y-coordinate.
So if (h,k)=(-3,-3),
(5,5) -> (5-3,5-3) = (2,2)
The second problem works the same way.
To translate a point to a new origin, you need to subtract the coordinates of the new origin from the original point.
For the first question:
Given the point (5, 5) and the new origin center (-3, -3),
To find the translated point (x', y'), we subtract the coordinates of the new origin from the original point:
x' = 5 - (-3) = 5 + 3 = 8
y' = 5 - (-3) = 5 + 3 = 8
So, the translated point is (8, 8).
For the second question:
Given the point (-8, -8) and the new origin center (-3, -3),
To find the translated point (x', y'), we subtract the coordinates of the new origin from the original point:
x' = -8 - (-3) = -8 + 3 = -5
y' = -8 - (-3) = -8 + 3 = -5
So, the translated point is (-5, -5).
To translate a point to a new origin, you need to subtract the coordinates of the new origin from the coordinates of the original point.
For example, let's solve the first problem:
Original point: (5, 5)
New origin: (-3, -3)
To translate the point (5, 5) to the new origin (-3, -3), we subtract the x-coordinate of the new origin (-3) from the x-coordinate of the original point (5), and subtract the y-coordinate of the new origin (-3) from the y-coordinate of the original point (5).
So, for the first problem:
x' = 5 - (-3) = 5 + 3 = 8
y' = 5 - (-3) = 5 + 3 = 8
Therefore, the new translated point is (8, 8).
Now, let's solve the second problem:
Original point: (-8, -8)
New origin: (-3, -3)
To translate the point (-8, -8) to the new origin (-3, -3), we subtract the x-coordinate of the new origin (-3) from the x-coordinate of the original point (-8), and subtract the y-coordinate of the new origin (-3) from the y-coordinate of the original point (-8).
So, for the second problem:
x' = -8 - (-3) = -8 + 3 = -5
y' = -8 - (-3) = -8 + 3 = -5
Therefore, the new translated point is (-5, -5).