Question

translate the figure 4 units right and 5 units up. 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 figure. Let's assume the original points (from the graph) are: Let's say the top point is \((-5, -1)\), the right-middle point is \((-3, -3)\), the bottom-middle point is \((-4, -5)\), and the left-bottom point is \((-8, -6)\) (we need to check the grid, but generally, for translation, we add 4 to x (right) and 5 to y (up)).

Step2: Apply translation rule

The translation rule for moving a point \((x, y)\) 4 units right and 5 units up is \((x + 4, y + 5)\).

• For point \((-5, -1)\): New \(x = -5 + 4 = -1\), New \(y = -1 + 5 = 4\). So new point \((-1, 4)\).
• For point \((-3, -3)\): New \(x = -3 + 4 = 1\), New \(y = -3 + 5 = 2\). So new point \((1, 2)\).
• For point \((-4, -5)\): New \(x = -4 + 4 = 0\), New \(y = -5 + 5 = 0\). So new point \((0, 0)\).
• For point \((-8, -6)\): New \(x = -8 + 4 = -4\), New \(y = -6 + 5 = -1\). So new point \((-4, -1)\).

Now, plot these translated points \((-1, 4)\), \((1, 2)\), \((0, 0)\), \((-4, -1)\) on the graph.

Answer:

The translated points are \((-1, 4)\), \((1, 2)\), \((0, 0)\), and \((-4, -1)\) (plot these on the coordinate plane as per the translation rule).