Question

7. Translate up two units, and left 4 units.c7Original NewCoordinates: Coordinates:A:(2) A: ()B: (___) B:(___)C: (_) C:(___)D:(_) D': (__)E: () E':(5BD3A35los.

Answer 1

Consider the if a point is moved up, then its y-coordinate increases. While if the point is moved left then the x-coordinate decreases.

So the transformation corresponding to the movement of a point up by 2 units and left by 4 units can be described as follows,

`(x,y)\rightarrow(x-4,y+2)`

The original coordinates (x,y) of points can be obtained from the graph, and the transformation can be applied to obtain the new coordinates.

The coordinates of point A will be as follows,

`\begin{gathered} A\colon(4,1) \\ A^(\prime)\colon(0,3) \end{gathered}`

The coordinates of point B will be,

`\begin{gathered} B\colon(8,5) \\ B^(\prime)\colon(4,7) \end{gathered}`

The coordinates of point C will be,

`\begin{gathered} C\colon(4,7) \\ C^(\prime)\colon(0,9) \end{gathered}`

The coordinates of point D will be,

`\begin{gathered} D\colon(5,4) \\ D^(\prime)\colon(1,6) \end{gathered}`

The coordinates of point E will be,

`\begin{gathered} E\colon(2,3) \\ E^(\prime)\colon(-2,5) \end{gathered}`

Thus, the original and new coordinates of each point are obtained.