Question

question
translate the figure 3 units left and 1 unit down.
plot all of the points of the translated figure.
you may click a plotted point to delete it.

Explanation:

Step1: Identify Original Points

First, find the coordinates of the vertices of the original (blue) figure. Let's assume the original points (from the graph) are, for example, let's list them (we'll need to estimate or get exact from the grid; let's suppose the blue figure has vertices at, say, \( (-4, 5) \), \( (5, -2) \), \( (0, -7) \), \( (-7, -3) \) – note: actual coordinates depend on grid, but process is same).

Step2: Apply Translation Rules

For a translation 3 units left (subtract 3 from x - coordinate) and 1 unit down (subtract 1 from y - coordinate).

• For a point \( (x, y) \), the translated point is \( (x - 3, y - 1) \).
• Take each original vertex:
• If original point is \( (x_1, y_1) \), new \( x = x_1 - 3 \), new \( y = y_1 - 1 \).
• Repeat for all vertices.

Step3: Plot Translated Points

Using the translated coordinates, plot each point on the coordinate plane. For example, if original point was \( (-4, 5) \), translated is \( (-4 - 3, 5 - 1)=(-7, 4) \); if original was \( (5, -2) \), translated is \( (5 - 3, -2 - 1)=(2, -3) \); if original was \( (0, -7) \), translated is \( (0 - 3, -7 - 1)=(-3, -8) \); if original was \( (-7, -3) \), translated is \( (-7 - 3, -3 - 1)=(-10, -4) \). Then connect the translated points to form the figure.

Answer:

(The answer involves plotting the translated points. The key is to apply \( (x - 3, y - 1) \) to each vertex of the original figure and plot the new points. The specific coordinates depend on the original figure's vertices, but the process is as above.)