If the function f(x)=(x−5)2

Question

is reflected over the x-axis, then how does that reflection affect the point (3, 4)?(1 point)
Responses

In the reflection, the point (3, 4)
becomes (3, 16)
.
In the reflection, the point (3, 4)
becomes (3, 16)
.

In the reflection, the point (3, 4)
becomes (−3, 4)
.
In the reflection, the point (3, 4)
becomes (−3, 4)
.

In the reflection, the point (3, 4)
becomes (−3,−4)
.
In the reflection, the point (3, 4)
becomes open paren negative 3 comma negative 4 close paren.

In the reflection, the point (3, 4)
becomes (3,−4)
.

Answer 1

When a point is reflected over the x-axis, the x-coordinate remains unchanged while the y-coordinate changes sign.

Given the point (3, 4), reflecting it over the x-axis results in:

• The x-coordinate: remains 3
• The y-coordinate: changes from 4 to -4

Thus, the new point after reflection is (3, -4).

Therefore, the correct response is:

In the reflection, the point (3, 4) becomes (3, −4).