If the function f(x)=(x+3)^2

is reflected over the x-axis, then how does the reflection affect the point (2,25)
?(1 point)
Responses

In the reflection, the point (2,25)
becomes (2,−25)
.
In the reflection, the point left parenthesis 2 comma 25 right parenthesis becomes left parenthesis 2 comma negative 25 right parenthesis .

In the reflection, the point (2,25)
becomes (−2,−25)
.
In the reflection, the point left parenthesis 2 comma 25 right parenthesis becomes left parenthesis negative 2 comma negative 25 right parenthesis .

In the reflection, the point (2,25)
becomes (2,−125)
.
In the reflection, the point left parenthesis 2 comma 25 right parenthesis becomes left parenthesis 2 comma negative125 right parenthesis .

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

1 answer

When a point \( (x, y) \) is reflected over the x-axis, the x-coordinate remains the same while the y-coordinate changes its sign.

Given the point \( (2, 25) \), after reflecting over the x-axis, the new point will be \( (2, -25) \).

Therefore, the correct response is:

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