If the function f (x) = (x + 3)? is reflected over the x-axis, then how does

Question

the reflection affect the point (2, 25)?

• In the reflection, the point (2, 25) becomes (2, -125).

• In the reflection, the point (2, 25) becomes (2, -25).

• In the reflection, the point (2, 25) becomes (-2, 25).

• In the reflection, the point (2, 25) becomes (-2, -25)

Answer 1

To find what happens to the point (2, 25) when the function \( f(x) = (x + 3) \) is reflected over the x-axis, we first note that reflection over the x-axis changes the sign of the y-coordinate.

The given point (2, 25) has:

• x-coordinate: 2
• y-coordinate: 25

When reflecting over the x-axis, the x-coordinate remains the same, and the y-coordinate changes sign:

• New point after reflection: \( (2, -25) \)

Thus, the correct statement is:

In the reflection, the point (2, 25) becomes (2, -25).