Question

Given the rule (x,y) --> (x-4, y+8), describe what transformation occurs to any given point.

Answer 1

For any given point, the transformation that occurs is

• The x - coordinate is translated 4 units to the right and
• the y - coordinate is translated 8 units up.

What are transformations?

Transformations are mathematical operations that are performed on a function or object to change is shape or orientation or value.

The types of transformations that can be performed on an object or function include

• Translation
• Dilation
• Reflection and
• Rotation

How to describe the trnasformation that occurs given the rule (x,y) --> (x - 4, y + 8).

Given the transformation rule (x,y) --> (x - 4, y + 8), we see that both the x and y coordinated are shifted or translated.

• The x - coordinate is translated 4 units to the right and
• the y - coordinate is translated 8 units up.

So, for any given point, the transformation that occurs is

• The x - coordinate is translated 4 units to the right and
• the y - coordinate is translated 8 units up.

Learn more about transformations here:

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