Question

A triangle is translated by using the rule (x,y) to (x-4,y+1). Which describes how the figure is moved? //A. Four units and one unit down B. Four units left and one unit. Down C. One unit right and four units down D. One unit right and four units up

Answer 1

B. Four units left and one unit up.

Explanation:

We have been given that a triangle is translated by using the rule (x,y) to (x-4,y+1). We are asked to describe the translation used to move the figure.

Let us recall translation rules.

`x-a\rightarrow \text{Figure shifted to left by a units}`,

`x+a\rightarrow \text{Figure shifted to right by a units}`,

`y-a\rightarrow \text{Figure shifted downwards by a units}`,

`y+a\rightarrow \text{Figure shifted upwards by a units}`,

Upon looking at the translation rules we can see that the rule (x-4,y+1) means shifting x-coordinates to left by 4 units and and shifting y-coordinates upwards by 1 unit.

Therefore, the option B is the correct choice.

Answer 2

Adding -4 to each x-coordinate shifts the figure to the left 4 units.
Adding +1 to each y-coordinate shifts the figure up 1 unit.

The figure is moved ...
four units left and one unit up