Question
An algebraic representation of translation of a point 6 units to the right and 3 units up
- (x, y) → (x + 6, y + 3 )
- (x, y) → (6x, 3y)
- (x, y) → (x-6, Y-3)
- (x, y) → (6, 3)
Hint:
Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
We have given to find the translation of a point 6 units to the right and 3 units up.
The correct answer is: (x, y) → (x + 6, y + 3 )
Now as we said that in translation, a point or a figure can move up, down, right, left, or anywhere else in the coordinate system. Any point can be located using a Cartesian coordinate system or coordinate system, and that point can be displayed as an ordered pair (x, y) known as Coordinates.
We have to shift the points from (x,y) to 6 units to the right and 3 units up.
Lets consider x, we have to shift 6 units to right. So it will be:
x ---- x+6
We have added 6 because it increases in right side.
Lets consider y, we have to shift 3 units to up. So it will be:
y ---- y+3
We have added 3 because it increases in upper side.
So the algebraic representation will be: (x, y) → (x + 6, y + 3 ).
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same.
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