If a point starts at (-3,2) and ends up at (4,3), which of the following correctly describes the translation?
no clue
your mum
To determine the translation that describes the movement of the point from (-3,2) to (4,3), we need to calculate the distance that the point moved horizontally and vertically.
1. Horizontal Translation: The horizontal translation can be calculated by subtracting the x-coordinate of the starting point from the x-coordinate of the ending point.
Horizontal Translation = Ending Point (x-coordinate) - Starting Point (x-coordinate)
Horizontal Translation = 4 - (-3)
Horizontal Translation = 7
2. Vertical Translation: The vertical translation can be calculated by subtracting the y-coordinate of the starting point from the y-coordinate of the ending point.
Vertical Translation = Ending Point (y-coordinate) - Starting Point (y-coordinate)
Vertical Translation = 3 - 2
Vertical Translation = 1
Now, let's analyze the answer options to determine the correct description of the translation:
a) The translation is right 3 units and up 2 units.
This answer describes a horizontal translation by 3 units to the right, which is incorrect because we calculated a horizontal translation of 7 units.
b) The translation is left 3 units and up 2 units.
This answer describes a horizontal translation by 3 units to the left, which is incorrect because we calculated a horizontal translation of 7 units.
c) The translation is right 7 units and up 1 unit.
This answer correctly describes a horizontal translation by 7 units to the right and a vertical translation by 1 unit upwards. Therefore, this is the correct description of the translation.
d) The translation is left 7 units and up 1 unit.
This answer describes a horizontal translation by 7 units to the left, which is incorrect because we calculated a horizontal translation of 7 units.
Therefore, the correct description of the translation is: "The translation is right 7 units and up 1 unit."
well,
4 = -3 + 7
3 = 2 + 1