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Point `C` is the image of point `A` after a translation `2` units to the right, and then a reflection across the `x`-axis. What are the coordinates of point `C`?

Respuesta :

The transformation undergone by point A using the transformation rule is given by; C(-2, 3)

How to Interpret Transformations?

The original Image is point A. Now, if we assume that point A has the coordinates (-4, -3)

Now, in translations, when we translate a point to the right, it means that the x-coordinate increases by the number of units being translated. Thus, to translate (x, y) by 2 units upwards means we have;

((x + 2), y)

Thus, to translate A(-4, -3) by 2 units upwards gives us;

A'((-4 + 2), -3) = A'(-2, -3)

Now, when we reflect a point (x, y) across the x-axis, we are simply following the transformation rule (x, y) → (x, -y). Thus, reflecting A'(-2, -3) across the x-axis to form point C gives;

C(-2, -(-3)) = C(-2, 3)

Read more about Transformations at; https://brainly.com/question/4289712

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