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 (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 (1,2)
.

1 answer

To reflect a point horizontally across the y-axis, we change the sign of the x-coordinate while leaving the y-coordinate unchanged.

So, reflecting the point \((-2, 1)\) horizontally results in the new point \((2, 1)\).

Therefore, the correct response is:

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