Answer:
a. \((-6,4)\)
Step-by-step explanation:
We are asked to find the coordinates of the points (-4,2) after a translation 2 units left and 2 units up.
We know that translating a point to the left by 'a' units means we need to subtract 'a' units from x-coordinate of the point.
Translation to 2 units left:
\((-4,2)\Rightarrow ((-4-2),2)=(-6,2)\)
We know that translating a point to upwards by 'a' units means we need to add 'a' units to y-coordinate of the point.
Translation to 2 units up:
\((-6,2)\Rightarrow (-6,(2+2))=(-6,4)\)
Therefore, our point after the given translation would be \((-6,4)\).
