How are the original coordinates related to the coordinates after the translation?

When you perform translations, you slide a figure left or right, up or down. This means that on the coordinate plane, the coordinates for the vertices of the figure will change.

To graph a translation, perform the same change for each point.

You can identify a reflection by the changes in its coordinates. In a reflection, the figure flips across a line to make a mirror image of itself. Take a look at the reflection below.

Figures are usually reflected across either the

x−

or the

y−

axis. In this case, the figure is reflected across the

y−

axis. If you compare the figures in the first example vertex by vertex, you see that the

x−

coordinates change but the

y−

coordinates stay the same. This is because the reflection happens from left to right across the

y−

axis. When you reflect across the

x−

axis, the

y−

coordinates change and the

x−

coordinates stay the same. Take a look at this example.

In the figure above the coordinates for the upper-left vertex of the original figure are (-5, 5). After you reflect it across the

x−

axis, the coordinates for the corresponding vertex are (-5, -5). How about the lower-right vertex? It starts out at (-1, 1), and after the flip it is at (-1, -1). As you can see, the

x−

coordinates stay the same while the

y−

coordinates change. In fact, the

y−

coordinates all become the opposite integers of the original

y−

coordinates. This indicates that this is a vertical (up/down) reflection or a reflection over the

x−

axis.

In a horizontal (left/right) reflection or a reflection over the

y−

axis, the

x−

coordinates would become integer opposites. Let’s look at an example.

This is a reflection across the

y−

axis. Compare the points. Notice that the

y−

coordinates stay the same. The

x−

coordinates become the integer opposites of the original

x−

coordinates. Look at the top point of the triangle, for example. The coordinates of the original point are (-4, 6), and the coordinates of the new point are (4, 6). The

x−

coordinate has switched from -4 to 4.

You can recognize reflections by these changes to the

x−

and

y−

coordinates. If you reflect across the

x−

axis, the

y−

coordinates will become opposite. If you reflect across the

y−

axis, the

x−

coordinates will become opposite.

You can also use this information to graph reflections. To graph a reflection, you need to decide whether the reflection will be across the

x−

axis or the

y−

axis, and then change either the

x−

or

y−

coordinates.

Step-by-step explanation:

The x-coordinates of the translated figure are 2 more than the original x-coordinates. The y-coordinates of the translated figure are 4 less than the original y-coordinates.

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.