Draw the image of the translation of MNOP given by the translation rule
(x, y) → (x + 3, y − 2).
Looks like you have to shift your shape MNOP 3 units to the right horizontally, then shift it down 2 units vertically
What is the image point of (-7,-7)(−7,−7) after a translation left 3 units and down 3 units?
To draw the image of the translation of MNOP, we need to apply the translation rule (x, y) → (x + 3, y - 2) to each vertex of MNOP.
Let's assume that the original coordinates of each vertex of MNOP are as follows:
M (x₁, y₁)
N (x₂, y₂)
O (x₃, y₃)
P (x₄, y₄)
Applying the translation rule, the new coordinates of each vertex will be:
M' (x₁ + 3, y₁ - 2)
N' (x₂ + 3, y₂ - 2)
O' (x₃ + 3, y₃ - 2)
P' (x₄ + 3, y₄ - 2)
Now we can draw the image of MNOP by connecting the vertices M', N', O', and P' using line segments.
To draw the translation of MNOP given by the translation rule (x, y) → (x + 3, y − 2), follow these steps:
1. Start by drawing the original shape, MNOP, on a coordinate plane. Make sure you label the vertices as M, N, O, and P accordingly.
2. We will translate each vertex of MNOP by adding the given translation rule to their coordinates:
- For vertex M, add 3 to the x-coordinate and subtract 2 from the y-coordinate.
- For vertex N, add 3 to the x-coordinate and subtract 2 from the y-coordinate.
- For vertex O, add 3 to the x-coordinate and subtract 2 from the y-coordinate.
- For vertex P, add 3 to the x-coordinate and subtract 2 from the y-coordinate.
3. Plot the new vertices obtained from the translation rule on the coordinate plane. Label them as M', N', O', and P'.
4. Connect the new vertices with lines, forming the translated shape. Label this new shape as M'N'O'P'.
The resulting shape, M'N'O'P', is the translation of MNOP according to the given translation rule.