Question

point d shows the location of a drummer in a marching band formation. translate point d 4 units to the left.

Explanation:

Step1: Identify the original position of D

Assume the grid has coordinates, let's say the original x - coordinate of D is, for example, if we count the columns, suppose D is at column \( x \) (let's visually check: from the left, let's say D is at column 7 (assuming first column is 1). Wait, better to think in terms of horizontal movement. When translating left, we subtract from the x - coordinate. Let's assume the original x - coordinate of D is, say, if we take the grid, each square is 1 unit. Let's find the x - coordinate: looking at the grid, point D is at a certain x - value. Let's say the original x - coordinate (horizontal) of D is, for example, if we count the columns from the left, let's say D is at column 7 (just an example, but visually, when we move left 4 units, we subtract 4 from the x - coordinate).

Step2: Perform the translation

To translate a point 4 units to the left, we subtract 4 from the x - coordinate of the point (the y - coordinate remains the same). So if the original coordinates of D are \( (x,y) \), the new coordinates will be \( (x - 4,y) \). Visually, on the grid, we move the point D 4 squares to the left along the horizontal axis (x - axis) while keeping the vertical position (y - coordinate) the same.

Answer:

The new position of point D is 4 units to the left of its original position on the grid (same y - coordinate, x - coordinate decreased by 4). (To represent it precisely, if original D was at, say, (7, y) (assuming x - axis columns), new is (3, y))