Question

Which of the following will be the coordinates of point $A$, if you translates point $A$ $4$ units to the right and $4$ units down?

• A. $(2,-2)$
• B. $(0,-2)$
• C. $(4,-2)$
• D. $(-2,4)$

Answer 1

The correct option is A $(2,-2)$

After translation of the point $A$, $4$ units to right and $4$ units down, we get the translated point(let's name it $A^{\prime }$).
$A(-2,2)\to A^{\prime }(-2+4,2-4)=A^{\prime }(2,-2)$
We can also see in the figure, coordinates of point $A^{\prime }$ are $(2,-2)$.