Question

translate the figure 7 units left and 3 units up. plot all of the points of the translated figure. you may click a plotted point to delete it.

Explanation:

First, we need to identify the original coordinates of the triangle's vertices. From the graph, let's assume the original points are: Let's find the original coordinates. Looking at the plot, the three vertices seem to be:

• Point 1: \((3, -1)\) (Wait, no, looking at the graph, the bottom left is at \((3, -6)\), the top is at \((3, -1)\), and the bottom right is at \((8, -7)\)? Wait, maybe I misread. Let's re-express. Let's take the three vertices:

1. Let's say the first vertex (top) is \((3, -1)\) (since it's at x=3, y=-1? Wait, no, the y-axis: the bottom is negative. Wait, the plotted points: one at (3, -1)? No, the triangle has a point at (3, -1)? Wait, no, looking at the graph, the vertical side is from (3, -1) to (3, -6)? Wait, no, the bottom left is (3, -6), top is (3, -1), and bottom right is (8, -7). Let's confirm:

• Vertex A: (3, -1)
• Vertex B: (3, -6)
• Vertex C: (8, -7)

Now, to translate a point \((x, y)\) 7 units left (subtract 7 from x) and 3 units up (add 3 to y).

Step 1: Translate Vertex A (3, -1)

New x: \(3 - 7 = -4\)
New y: \(-1 + 3 = 2\)
So translated A: \((-4, 2)\)

Step 2: Translate Vertex B (3, -6)

New x: \(3 - 7 = -4\)
New y: \(-6 + 3 = -3\)
Translated B: \((-4, -3)\)

Step 3: Translate Vertex C (8, -7)

New x: \(8 - 7 = 1\)
New y: \(-7 + 3 = -4\)
Translated C: \((1, -4)\)

Now, we plot these three points: \((-4, 2)\), \((-4, -3)\), and \((1, -4)\) to get the translated figure.

Answer:

The translated vertices are \((-4, 2)\), \((-4, -3)\), and \((1, -4)\). Plot these points on the coordinate plane.