Question

PLEASE HELP URGENT I DONT GET THE QUESTION :(((((

Describe the single transformation that has the same effect as reflecting across the line x= 1 followed by a reflection across the line x = 5​

Answer 1

let's say we had point A at (0,0). It is exactly 1 unit away from the vertical line x = 1. We move 1 unit to the right to land on this mirror line, and then move another unit to arrive at A ' (2,0)

So A(0,0) moves to A ' (2,0) after mirroring over the line x = 1.

Then note the distance from A ' (2,0) to the second mirror line x = 5 is 3 units. We'll move 3 units to the right to land on this second mirror line, and then another 3 units to the right to arrive at A '' (8,0)

Explanation:

Answer 2

Let's say we had point A at (0,0). It is exactly 1 unit away from the vertical line x = 1. We move 1 unit to the right to land on this mirror line, and then move another unit to arrive at A ' (2,0)

So A(0,0) moves to A ' (2,0) after mirroring over the line x = 1.

Then note the distance from A ' (2,0) to the second mirror line x = 5 is 3 units. We'll move 3 units to the right to land on this second mirror line, and then another 3 units to the right to arrive at A '' (8,0)

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Overall, we start at A(0,0) and ended at A '' (8,0)

This describes a horizontal translation of 8 units to the right.