We are given the following point:
[tex]A=(4,2)[/tex]
Part A. To determine the quadrant of the point we will plot the point in a coordinate plane:
Therefore, point A is in quadrant I.
Part B. we are given the following transformation rule:
[tex](x,y)\rightarrow(x+1,y-5)[/tex]
Applying the rule:
[tex]\begin{gathered} (4,2)\rightarrow(4+1,2-5) \\ A^{\prime}=(5,-3) \end{gathered}[/tex]
