Question

The image of C reflected across the line x = 3 would have the coordinates ________________.

Answer 1

Using translation concepts, the image of C reflected across the line x = 3 would have the coordinates (4,-2).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The rule for a reflection across the line x = 3 is given by:

(x,y) -> (3 + |x - 3| , y).

The coordinates of C are C(2,-2), hence:

(2,-2) -> (3 + |2 - 3| , -2) = (4,-2).

The image of C reflected across the line x = 3 would have the coordinates (4,-2).

More can be learned about translation concepts at brainly.com/question/4521517

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