Given:
Point = ( -4,8).
To find:
The image point of (-4, 8) after a translation right 4 units and up 2 units.
Solution:
We know that, if a figure translated 4 units right and 2 units up, then the rule of translation is
![(x,y)\to (x+4,y+2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/7jnktc0d1ya1azoqcr6dfuoxc3x94ki3m4.png)
The point is (-4,8).
Putting x=-4 and y=8, we get
![(-4,2)\to (-4+4,8+2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/heqto9v2a36pfc3r7e3jcatkcz06br63th.png)
![(-4,2)\to (0,10)](https://img.qammunity.org/2021/formulas/mathematics/high-school/wrqjf9z5ei8kw8qm3ge94lpov85l4bt4ox.png)
Therefore, the image of point (-4,8) is (0,10).