Question

A transformation that maps the vertex A( 3 , 4 ) to A’ ( -4 , 3 ) is :

Answer 1

"A reflection over the line y = x, followed by a reflection over the y-axis"

Explanation:

We want to find the transformation that maps the point A (3, 4) into the point A' (-4, 3).

We can see that:

first we have an interchange between the x-component and the y-component.

Then we go from (x, y) to (y, x)

And now we change the sign of the x-component.

Then we go from (y, x) to (-y, x)

This is the transformation we have, now let's find a name for it.

The first transformation is a reflection over the line y = x.

The second is a reflection over the line x = 0.

Then our transformation can be:

"A reflection over the line y = x, followed by a reflection over the y-axis"