If the function f(x)=(x+3)2

Question

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

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

Answer 1

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

In this case, the point \((2, 25)\) is reflected over the x-axis.

The x-coordinate is \(2\) (which stays the same), and the y-coordinate \(25\) becomes \(-25\).

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

So, the correct response is:

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