Question

Consider a sequence of transformations where ΔLMN is translated (x, y) → (x − 3, y + 4), reflected across the yaxis, and then reflected across the x-axis. Predict the effect of the second transformation.

Answer 1

the effect of the second transformation just is:

(x - 3, y + 4) → (-3 + 4, y + 4)

What will be the effect of the second transformation?

Here we have a sequence of transformations, we start with a point (x, y) which we:

• First, we translate it 3 units to the left and 4 units up.
• Second, we reflect it across the y-axis
• Finally, we reflect it across the x-axis.

The second transformation is the first reflection, so we need to see what that reflection does.

First, the translation maps our point from (x, y) into (x - 3, y + 4).

Then, a reflection across the y-axis will only change the sign of the x-component of our point, so the effect of the second transformation just is:

(x - 3, y + 4) → (-3 + 4, y + 4)

If you want to learn more about transformations:

brainly.com/question/4289712

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