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 $(2,1)$.