Question

Describe the translation of the point to its image.
$(3,-2)\to (1,0)$

Answer 1

We know that to translate a figure $‘a’$ units horizontally and $‘b’$ units vertically in the coordinate plane, $‘a’$ is to be added to the
$x-$coordinate and $‘b’$ is to be added to the $y-$coordinates of the vertices. Then new coordinates become:-
$A(x,y)=A\text{'}(x+a,y+b)$
The value $‘a’$ and $‘b’$ will be positive if the shift is Right and Vertical up respectively and the value of $‘a’$and $‘b’$ will be negative if the shift is left and vertical down respectively.

As we have given Coordinate of the point $A(3,-2)$ and the image point$A’(1,0)$
We can find Horizontal shift as:$\mathrm{a}={\mathrm{x}}_2-{\mathrm{x}}_1=1-3=-2$

We can find Vertical shift as:: $\mathrm{b}={\mathrm{y}}_2-{\mathrm{y}}_1=0-(-2)=0+2=2$

Hence the translation path will be $2$ units left and $2$ units up.

Final Answer: Hence the translation path will be $2$ units left and $2$ units up.