Which of the following tables corresponds to the equation below? How to choose the correct table Applications of the equation y = x^2 + 2x + 1 Conclusion

The equation is:

y = x^2 + 2x + 1

The following tables show the values of y for different values of x:

Table 1

| x | y |
|---|---|
| -2 | 1 |
| -1 | 0 |
| 0 | 1 |
| 1 | 4 |
| 2 | 9 |

Table 2

| x | y |
|---|---|
| -1 | 0 |
| 0 | 1 |
| 1 | 4 |
| 2 | 9 |
| 3 | 16 |

Table 3

| x | y |
|---|---|
| 0 | 1 |
| 1 | 4 |
| 2 | 9 |
| 3 | 16 |
| 4 | 25 |

Table 4

| x | y |
|---|---|
| 1 | 4 |
| 2 | 9 |
| 3 | 16 |
| 4 | 25 |
| 5 | 36 |

Which table corresponds to the equation y = x^2 + 2x + 1?

Table 1 corresponds to the equation y = x^2 + 2x + 1.

To choose the correct table, you can:

1. Plug in a value of x into the equation and see if the result matches the value of y in the table.
2. Look for a pattern in the values of y. In this case, the values of y increase by 3 for each increase of 1 in x.

The equation y = x^2 + 2x + 1 has many applications, including:

• Projectile motion: The equation can be used to model the trajectory of a projectile, such as a ball or a rocket.
• Parabolic curves: The equation can be used to create parabolic curves, which are often used in architecture and design.
• Quadratic equations: The equation is a quadratic equation, which can be used to solve for the roots of a quadratic equation.

The equation y = x^2 + 2x + 1 is a versatile equation with many applications. By understanding how to choose the correct table and how to use the equation, you can use it to solve a variety of problems.