Question

There first and second selection options are the same which are (1,2,3,4) the last one is (y-axis, x-axis)

Answer 1

ANSWER and EXPLANATION

We want to find the transformation that maps RSTU to R'S'T'U'.

First, there was a translation of RSTU.

We see that RSTU was moved 2 units to the left.

Then it was moved 2 units down, to touch the x axis.

Finally, there was a reflection across the y axis.

We can check this mathematically by picking a vertex of RSTU.

Let us pick S.

Translate it by moving it 2 units left and 2 units down:

S(4, 4) => S'(4 - 2, 4 - 2)

S'(2, 2)

Now, reflect across the y axis, it becomes:

S'(2, 2) => S'(-2 2)

We see that this matches the coordinate of S' in the image R'S'T'U'.