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

Answer 1

To determine how the point (2, 25) is affected by reflecting over the x-axis, we need to understand that a reflection over the x-axis changes the y-coordinate of a point while keeping the x-coordinate the same.

When we reflect the point (x, y) over the x-axis, it becomes (x, -y).

Thus, reflecting the point (2, 25) over the x-axis gives us:

\[
(2, 25) \rightarrow (2, -25)
\]

So, the correct response is:

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