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 (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)
.
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 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 .
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1 answer
A horizontal reflection means that we will reflect the point across the y-axis. For a point \((x, y)\), reflecting it horizontally will transform it into \((-x, y)\).
So, for the point \((-2, 1)\):
\[ (-2, 1) \rightarrow (2, 1) \]
Thus, the correct response is:
In the horizontal reflection, the point \((-2, 1)\) becomes \((2, 1)\).
