Question

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,−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)
.
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,−25)
.

Answer 1

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

Given the point \((2, 25)\):
- The x-coordinate \(2\) remains the same.
- The y-coordinate \(25\) becomes \(-25\).

Thus, the reflected point is \((2, -25)\).

The correct response is:
**In the reflection, the point \((2, 25)\) becomes \((2, -25)\).**