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Analyze the graph below and answer the question that follows.

/

In the graph above, the coordinates of the vertices of / are T(4, 4), U(2, –2), and V(6, –2). If / is reflected across the y-axis to create /, what are the coordinates of U'?

A.
(–6, –2)
B.
(–4, 4)
C.
(–2, –2)
D.
(–2, 2)

Respuesta :

C. (-2,-2) is the answer.

Explanation:

When we reflect a point (x, y) across the y-axis, after the reflection, the y-coordinate tends to be the same, however the x-coordinate is changed into its opposite sign.

Here U(2,-2) is reflected across the y-axis then,

the y-coordinate -2 remains the same and the x-coordinate is transformed into its opposite that is the sign of the x-coordinate will be changed as -2.

So the new coordinates of U after reflection will be (-2,-2).

Answer:

-2,-2)

Explanation: