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)

Question

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

Answer 1

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 \((2, 25)\):

• The x-coordinate is \(2\), which stays the same.
• The y-coordinate is \(25\), which becomes \(-25\) after the reflection.

Therefore, the point \((2, 25)\) becomes \((2, -25)\) after reflection over the x-axis.

The correct response is:

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