Question

complete the tables with the y-values for y = x^2 + 1

x
-2
-1
0
1
2

Answer 1

To complete the table using the function \( y = x^2 + 1 \), we can calculate the y-values for each x-value provided.

**Calculations:**

1. For \( x = -2 \):
\[
y = (-2)^2 + 1 = 4 + 1 = 5
\]

2. For \( x = -1 \):
\[
y = (-1)^2 + 1 = 1 + 1 = 2
\]

3. For \( x = 0 \):
\[
y = (0)^2 + 1 = 0 + 1 = 1
\]

4. For \( x = 1 \):
\[
y = (1)^2 + 1 = 1 + 1 = 2
\]

5. For \( x = 2 \):
\[
y = (2)^2 + 1 = 4 + 1 = 5
\]

Now we can summarize the completed table:

| x | y |
|-----|-----|
| -2 | 5 |
| -1 | 2 |
| 0 | 1 |
| 1 | 2 |
| 2 | 5 |