Question

Create a table of values that models the function in the graph reflected over the x-axis.

(1 point)
Responses

This table shows the relationship between x and y values.
x y
−2 −9
−1 −3
0 −1
1 3
2 9
This table shows the relationship between x and y values. x y negative 2 negative 9 negative 1 negative 3 0 negative 1 1 3 2 9

This table shows the relationship between x and y values.
x y
−2 4
−1 1
0 0
1 4
2 1
This table shows the relationship between x and y values. x y negative 2 4 negative 1 1 0 0 1 4 2 1

This table shows the relationship between x and y values.
x y
−2 9
−1 3
0 1
1 3
2 9
This table shows the relationship between x and y values. x y negative 2 9 negative 1 3 0 1 1 3 2 9

This table shows the relationship between x and y values.
x y
−2 −9
−1 −3
0 −1
1 −3
2 −9

Answer 1

To reflect a function over the x-axis, you need to change the sign of all y-values in the table. Let's review the provided tables:

1. **Table 1:**
```
x y
-2 -9
-1 -3
0 -1
1 3
2 9
```
When reflected over the x-axis:
```
x y
-2 9
-1 3
0 1
1 -3
2 -9
```

2. **Table 2:**
```
x y
-2 4
-1 1
0 0
1 4
2 1
```
When reflected over the x-axis:
```
x y
-2 -4
-1 -1
0 0
1 -4
2 -1
```

3. **Table 3:**
```
x y
-2 9
-1 3
0 1
1 3
2 9
```
When reflected over the x-axis:
```
x y
-2 -9
-1 -3
0 -1
1 -3
2 -9
```

4. **Table 4:**
```
x y
-2 -9
-1 -3
0 -1
1 -3
2 -9
```
When reflected over the x-axis:
```
x y
-2 9
-1 3
0 1
1 3
2 9
```

From the above, we can see that the correct reflection is given by **Table 3**. Therefore, the table that models the function reflected over the x-axis is:

```
x y
-2 9
-1 3
0 1
1 -3
2 -9
```

Thus, the response is **Table 3**.