Question

translate the figure 5 units left and 7 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 figure's vertices. From the graph:

• Point 1: \((2, 5)\)
• Point 2: \((3, 3)\)
• Point 3: \((6, 9)\)
• Point 4: \((8, 2)\)

Step2: Apply translation rules

For a translation 5 units left (subtract 5 from \(x\)-coordinate) and 7 units down (subtract 7 from \(y\)-coordinate):

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

Step3: Plot translated points

Plot the points \((-3, -2)\), \((-2, -4)\), \((1, 2)\), and \((3, -5)\) on the coordinate plane.

Answer:

The translated points are \((-3, -2)\), \((-2, -4)\), \((1, 2)\), and \((3, -5)\) (plot these on the graph).