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 (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 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 negative 2 comma negative 1 right parenthesis .

In the horizontal reflection, the point (−2,1)
becomes (2,1)
.

Answer 1

A horizontal reflection of a point occurs when the \(y\)-coordinate remains the same, but the \(x\)-coordinate is reflected across the vertical axis (i.e., it changes sign).

For the point \((-2, 1)\):
- The \(y\)-coordinate remains \(1\).
- The \(x\)-coordinate changes from \(-2\) to \(2\).

Thus, the new point after the horizontal reflection is \((2, 1)\).

The correct response is:

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