Question

If the function f(x)=(x+1)2
is reflected horizontally, how does the reflection affect the point (−2,1)
?(1 point)
Responses

In the horizontal reflection, the point (−2,1)
becomes (2,1)
.
In the horizontal reflection, the point left parenthesis negative 2 comma 1 right parenthesis becomes left parenthesis 2 comma 1 right parenthesis .

In the horizontal reflection, the point (−2,1)
becomes (1,2)
.
In the horizontal reflection, the point left parenthesis negative 2 comma 1 right parenthesis becomes left parenthesis 1 comma 2 right parenthesis .

In the horizontal reflection, the point (−2,1)
becomes (−2,−1)
.
In the horizontal reflection, the point left parenthesis negative 2 comma 1 right parenthesis becomes left parenthesis negative 2 comma negative 1 right parenthesis .

In the horizontal reflection, the point (−2,1)
becomes (2,−1)
.
In the horizontal reflection, the point left parenthesis negative 2 comma 1 right parenthesis becomes left parenthesis 2 comma negative 1 right parenthesis .
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Answer 1

In a horizontal reflection, the point \( (x, y) \) is transformed to \( (-x, y) \).

Given the point \( (-2, 1) \):
- The x-coordinate \( -2 \) gets reflected to \( 2 \), while the y-coordinate \( 1 \) remains unchanged.

Thus, the point \( (-2, 1) \) becomes \( (2, 1) \).

So the correct response is:

**In the horizontal reflection, the point \( (-2, 1) \) becomes \( (2, 1) \).**