Final answer:
The image of point P(4, -5) after a translation by 1 unit to the right is point Q with coordinates (5, -5). Translation is a specific form of transformation on the coordinate plane where size of the point or geometrical shape remains the same but only the position changes.
Step-by-step explanation:
The coordinates of point Q, which is the image of point P(4, -5) under a translation by 1 unit to the right, will be found by adding 1 to the x-coordinate of point P, while keeping the y-coordinate the same. Since point P has an x-coordinate of 4, we simply need to add 1 to this to get the new x-coordinate for point Q. The y-coordinate remains unchanged at -5.
Therefore, the new coordinates of point Q will be (4 + 1, -5), which simplifies to (5, -5).
So, the correct answer is:
Translation is a specific form of transformation on the coordinate plane where size of the point or geometrical shape remains the same but only the position changes. The point or the figure can be moved upward, downward, right, left or in more than one direction along the x-axis and y- axis in the coordinate system.
Consider a point A (x,y)
The following rules are used to find the coordinates:
- A movement of a units on the right = A (x+a,y)
- A movement of a units on the left = A (x-a,y)
- A movement of b units up = A (x,y+b)
- A movement of b units down = A (x,y-b)
To conclude,
When a point A(x,y) is translated along both x-axis and y axis
The translated point is A'(x ± a, y ± b).
When composition translation of a point A(x,y) is done using the two movements ⟨±a, ±b⟩ and ⟨±c, ±d⟩
The translated point is A”(x ± a ± c,y ± b ± d).