Question

figure f is the result of a transformation on figure e. which transformation would accomplish this?
answer
a translation 4 units right and 1 unit up
a translation 1 unit right and 4 units up
a translation 4 units left and 1 unit down
a translation 1 unit left and 4 units down

Explanation:

Step1: Analyze horizontal movement

Take a vertex of Figure E. Suppose we consider the left - most vertex. Let's assume its \(x\) - coordinate. If we move from Figure E to Figure F, for a general point \((x,y)\) in Figure E, the \(x\) - coordinate of the corresponding point in Figure F: if we count the units on the \(x\) - axis. We can see that the horizontal movement is \(4\) units to the right (since \(x\) values increase when moving to the right on the coordinate plane).

Step2: Analyze vertical movement

Now consider the \(y\) - coordinate of the same vertex. The vertical movement is \(1\) unit up (since \(y\) values increase when moving up on the coordinate plane).

Answer:

A translation 4 units right and 1 unit up