Question

If a translation of t="T_{-3,-8} (x,y)" align="absmiddle" class="latex-formula"> is applied to square ABCD, what is the y-coordinate of B'?

Answer 1

The y-coordinate of B' after the translation is -6

How to determine the y-coordinate of B'?

From the graph, the coordinate of B is given as:

B = (1,2)

The translation $T_{-3,-8}(x,y)$ means:

(x,y) ⇒ (x - 3, y - 8)

So, we have:

B' = (1 - 3, 2 - 8)

Evaluate the difference

B' = (-2, -6)

Remove the x-coordinate

B' = -6

Hence, the y-coordinate of B' is -6

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