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Answer:
To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).
Translation involves moving a point on a coordinate geometry from one position to another position.
Given that:
[tex]M = (-1,5)[/tex] --- point
[tex](x,y) \to (x + 3, y - 2)[/tex] --- translation rule
Substitute -1 for x and 5 for y in [tex](x,y) \to (x + 3, y - 2)[/tex]
So, we have:
[tex](-1,5) \to (-1 + 3, 5 - 2)[/tex]
[tex](-1,5) \to (2, 3)[/tex]
This means that:
[tex]M' = (2, 3)[/tex]
Hence, the image of M after translation is [tex](2, 3)[/tex]
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