Question

translate the figure 1 unit left and 5 units 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 original triangle's vertices. Let's assume the original points (from the graph) are, for example, \( A(-5, -3) \), \( B(-3, -3) \), \( C(-4, -1) \) (estimating from the plot).

Step2: Apply Translation Rules

To translate a point \((x, y)\) 1 unit left (subtract 1 from \( x \)) and 5 units down (subtract 5 from \( y \)):

• For \( A(-5, -3) \): New \( x = -5 - 1 = -6 \), New \( y = -3 - 5 = -8 \), so \( A'(-6, -8) \)
• For \( B(-3, -3) \): New \( x = -3 - 1 = -4 \), New \( y = -3 - 5 = -8 \), so \( B'(-4, -8) \)
• For \( C(-4, -1) \): New \( x = -4 - 1 = -5 \), New \( y = -1 - 5 = -6 \), so \( C'(-5, -6) \)

Step3: Plot Translated Points

Plot the points \( (-6, -8) \), \( (-4, -8) \), and \( (-5, -6) \) on the coordinate plane.

Answer:

The translated figure's vertices are at \((-6, -8)\), \((-4, -8)\), and \((-5, -6)\) (plot these points).