f the function f(x)=(x+1)2

Question

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 (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 (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)
.

Answer 1

A horizontal reflection of a point \((x, y)\) in the coordinate system changes the x-coordinate from \(x\) to \(-x\), while leaving the y-coordinate unchanged.

Given the point \((-2, 1)\), reflecting it horizontally would result in:

• The x-coordinate changes from \(-2\) to \(2\).
• The y-coordinate remains \(1\).

So, the reflected point is \((2, 1)\).

Therefore, the correct response is:

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