Question

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)
.

Answer 1

To reflect the point \((-2, 1)\) horizontally, we need to take the \(y\)-coordinate and negate it, while the \(x\)-coordinate remains unchanged.

The original point is \((-2, 1)\).
- The \(x\)-coordinate is \(-2\).
- The \(y\)-coordinate becomes \(-1\) after the reflection.

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

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