Question

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'?

Answer 1

Answer: $U'(-2,-2)$

Step-by-step explanation:

We know that the coordinates of a point A(x,y) after the reflection across y-axis becomes :-

$A(x,y)\rightarrowA(-x,y)$

i.e. the polarity of x-coordinate changes but the y-coordinate remains exactly same.

Now, point U(2, -2) undergoes reflection across y-axis , then its image will be :-

$U(2,-2)\rightarrow\ U'(-2,-2)$

Thus , we get the coordinates of U' =(-2,-2)

Answer 2

The new coordinates of U are (-2,-2)