Question

Is my answer correct?

Answer 1

`\displaystyle (x,y) \longrightarrow (x+3, y+1)`

Explanation:

We want to write a rule for the transformation shown.

We can see that ΔA'B'C' is the figure ΔABC shifted rightwards 3 units and upwards 1 unit.

In other words, all x-coordinates of ABC is increased by 3, and all y-coordiantes of ABC is increased by 1.

Therefore, the rule for the x-coordinate is:

`\displaystyle x \longrightarrow x + 3`

And the rule for the y-coordinate is:

`\displaystyle y \longrightarrow y + 1`

In conclusion, we have that:

`\displaystyle (x,y) \longrightarrow (x+3, y+1)`