∆abc is translated 6 units up and 3 units left to create ∆a'b' c. if vertex a is at (-1, 2) and vertex b is at (1, 5), then where is vertex a' at vertex and where is vertex b' at ?

Keep in mind that the positive directions of the two axis are: upwards for the y axis and rightwards for the x axis.

So, translating a point 6 units up means to go 6 units along the positive direction on the y axis. For this reason, the new y coordinate will be 6 units more than the old one.

Similarly, going 3 units left means to decrease by 3 the x coordinate, because we're following the negative direction.

So, to recap, this transformation maps

This means that the two points become

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