f the function f(x)=(x+3)2 is reflected over the x-axis, then how does the reflection affect the point (2,25)

Question

Responses

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

In the reflection, the point (2,25)becomes (2,−125)

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

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

Answer 1

To reflect the point \((2, 25)\) over the x-axis, we will change the sign of the y-coordinate while keeping the x-coordinate the same.

The original point is \((2, 25)\). Reflecting this over the x-axis gives:

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

Thus, the correct response is:

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