Question

Under a translation of $5$ units up and $2$ units to the left, the point $(3,4)$ will become

• A. $(8,6)$
• B. $(8,9)$
• C. $(1,6)$
• D. $(5,-1)$

Answer 1

The correct option is D $(5,-1)$

Let the new origin be $(h,k)=(-2,5)$ and $(x,y)=(3,4)$ be the given point

Therefore new co-ordinates $(X,Y)$ .

$x=X+h$ and $y=Y+k$

i.e. $3=X-2$ and $4=Y+5$

This gives, $X=5$ and $Y=-1$.

Hence, the new co-ordinates are $(5,-1)$.