If 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 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)
.
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 .

Answer 1

A horizontal reflection of a point across the y-axis takes the x-coordinate and negates it, while leaving the y-coordinate unchanged.

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

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

Thus, the point \((-2, 1)\) reflected horizontally becomes \((2, 1)\).

Out of the options provided, the correct response is: 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.