Question

question
translate the figure 6 units left and 4 units up.
plot all of the points of the translated figure. you may click a plotted point to delete it.
answer attempt 1 out of 3

Explanation:

Step1: Identify Original Points

First, determine the coordinates of the vertices of the original figure. Let's assume the original points (from the graph) are, for example, \( (x_1, y_1) \), \( (x_2, y_2) \), \( (x_3, y_3) \), \( (x_4, y_4) \). (Need to visually inspect the graph; typical translation: left subtracts from x, up adds to y.)

Step2: Apply Translation Rule

For a translation 6 units left (subtract 6 from x - coordinate) and 4 units up (add 4 to y - coordinate), the new coordinates \( (x', y') \) for a point \( (x, y) \) are given by \( x'=x - 6 \) and \( y'=y + 4 \).

Step3: Plot Translated Points

Take each original vertex, apply the translation formula, and plot the new points. Then connect them to form the translated figure.

(Note: Since the exact original coordinates are from the graph, let's assume original points (visually estimated from the graph, assuming the grid is standard): Let's say original points are \( (-5, -5) \), \( (-2, -5) \), \( (-1, -7) \), \( (-4, -9) \) (these are estimates; actual values depend on the graph). Then translated points:

• For \( (-5, -5) \): \( x'=-5 - 6=-11 \), \( y'=-5 + 4=-1 \) → \( (-11, -1) \)
• For \( (-2, -5) \): \( x'=-2 - 6=-8 \), \( y'=-5 + 4=-1 \) → \( (-8, -1) \)
• For \( (-1, -7) \): \( x'=-1 - 6=-7 \), \( y'=-7 + 4=-3 \) → \( (-7, -3) \)
• For \( (-4, -9) \): \( x'=-4 - 6=-10 \), \( y'=-9 + 4=-5 \) → \( (-10, -5) \)

Plot these points on the coordinate plane.)

Answer:

(The translated figure is formed by plotting the points obtained by subtracting 6 from the x - coordinates and adding 4 to the y - coordinates of the original figure's vertices and connecting them. The specific coordinates depend on the original figure's vertices, but the process is as described above.)