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 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 1 right parenthesis .

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

1 answer

A horizontal reflection of a point \((x, y)\) across the y-axis changes the x-coordinate to its opposite while keeping the y-coordinate the same.

For the point \((-2, 1)\):

  • The x-coordinate \(-2\) becomes \(2\).
  • The y-coordinate remains \(1\).

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

The correct response is: In the horizontal reflection, the point \((-2,1)\) becomes \((2,1)\).