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 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)
.

1 answer

When a point 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 remains unchanged.
  • The y-coordinate is 25, which becomes -25 after reflection.

Therefore, the reflected point is (2, -25).

The correct response is:

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