If the function f(x)=(x+1)2 is reflected horizontally, how does the reflection affect the point (−2,1)?

Question

Responses

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

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

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

Answer 1

To reflect a point horizontally, you change the sign of the x-coordinate while keeping the y-coordinate the same.

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

1. Change the sign of the x-coordinate: \(-2\) becomes \(2\).
2. Keep the y-coordinate the same: \(1\) stays \(1\).

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

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