Question

What is the image of (x, y) after a translation of 3 units right and 7 units down?

Answer 1

Translation involves changing the position of a shape.

The image of point (x,y) after a translation of 3 units right and 7 units down is: $\mathbf{(x - 3,y - 7)}$

The point is given as: (x,y)

The rule of translation 3 units right is:

$\mathbf{(x,y) \to (x-3,y)}$

The rule of translating 7 units down is:

$\mathbf{(x,y) \to (x,y - 7)}$

So, we have:

$\mathbf{(x - 3,y) \to (x - 3,y - 7)}$

Hence, the image of point (x,y) after a translation of 3 units right and 7 units down is: $\mathbf{(x - 3,y - 7)}$

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