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

Question

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

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

Answer 1

In a horizontal reflection, the \(x\)-coordinate of the point is negated, while the \(y\)-coordinate remains the same.

The original point is \((-2, 1)\).

After a horizontal reflection, the new point will be:

\[ (2, 1) \]

The transformation does not affect the \(y\)-coordinate. Thus, the correct answer is:

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

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