Answer:
The correct answer for this is [tex](-4,6)[/tex].
Step-by-step explanation:
As it can be seen from the attached graph image:
- The y-axis increases in positive values when we move in up direction i.e. we have +y-axis in upward direction.
- The y-axis decreases and keeps on becoming more and more negative values when we move in down direction i.e. we have -y-axis in downward direction.
- The x-axis increases in positive values when we move in right direction i.e. we have +x-axis in right direction.
- The x-axis decreases and keeps on becoming more and more negative values when we move in left direction i.e. we have -x-axis in left direction.
Now, according to question, the translation is performed 6 points up i.e. towards positive y-axis and 4 points towards left i.e. towards negative x-axis.
And, as per rule, the co-ordinates are represented as [tex](x,y)[/tex] where [tex]x[/tex] is the x-co-ordinate and [tex]y[/tex] is y-co-ordinate.
So, the answer here is [tex](-4,6)[/tex].
