Question

The result of a vertical shift followed by a reflection in the x-axis would most naturally be denoted by__. The result of a reflection in the x-axis followed by a vertial shift would most naturally be denoted by__. Therefore, reversing the order__ change the final result

Answer 1

The terms that complete the three blanks are:

• -f(x) + k
• -f(x) + k
• does not

What is transformation?

Transformation involves changing the position and the size of a shape, line or point

When a shape is shifted vertically, and then reflected across the x-axis;

The rule of transformation is: -f(x) + k

When a shape is reflected across the x-axis, and then shifted vertically;

The rule of transformation is: -f(x) + k

Notice that the rule of both transformations are the same.

Hence, reversing the order does not change the final result

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