Answer:
The correct answer for this is .
Step-by-step explanation:
As it can be seen from the attached graph image:
- The <em>y-axis </em><em>increases in positive</em> values when we move in up direction i.e. we have +<em>y-axis </em>in upward direction.
- The <em>y-axis </em><em>decreases and keeps on becoming more and more negative</em> values when we move in down direction i.e. we have -<em>y-axis </em>in downward direction.
- The <em>x-axis </em><em>increases in positive</em> values when we move in right direction i.e. we have <em>+x-axis </em>in right direction.
- The x<em>-axis </em><em>decreases and keeps on becoming more and more negative</em> values when we move in left direction i.e. we have <em>-x-axis </em>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 where
is the x-co-ordinate and
is y-co-ordinate.
So, the answer here is .
