Question

1. the graph of jklm is shown. graph the image of jklm after a translation of 4 units left and 4 units down. write the coordinates of the image.

Explanation:

Since the original coordinates of the vertices of \(JKLM\) are not given, we cannot provide the exact new - coordinates. However, the general rule for a translation of 4 units left and 4 units down for a point \((x,y)\) is \((x - 4,y - 4)\).

If we assume the vertices of \(JKLM\) are \(J(x_J,y_J)\), \(K(x_K,y_K)\), \(L(x_L,y_L)\), \(M(x_M,y_M)\) respectively, the coordinates of the image \(J'K'L'M'\) are:
\(J'(x_J - 4,y_J - 4)\), \(K'(x_K - 4,y_K - 4)\), \(L'(x_L - 4,y_L - 4)\), \(M'(x_M - 4,y_M - 4)\)

Discipline: Mathematics
Sub - field: Geometry

Answer:

General rule for coordinates of image: \((x,y)\to(x - 4,y - 4)\)