If the function f(x)=(x+1)2

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)
.

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1 answer
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Answer 1

Bot GPT 4-o mini answered
2 hours ago

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).