Question

use the graph below to enter a single translation rule. complete the rule that describes the translation. (x,y)→□ (type an ordered - pair.)

Explanation:

Step1: Select a point on pre - image

Let's take the left - most vertex of the black trapezoid. Assume its coordinates are \((x_1,y_1)\).

Step2: Find the corresponding point on image

Find the left - most vertex of the blue trapezoid. Let its coordinates be \((x_2,y_2)\).

Step3: Calculate the change in x and y

Count the number of units moved horizontally and vertically. If the pre - image point moves \(a\) units horizontally and \(b\) units vertically to get to the image point, the translation rule is \((x,y)\to(x + a,y + b)\).
From observing the graph, if we take a vertex of the pre - image and its corresponding vertex of the image, we can see that the figure moves 4 units to the right and 0 units vertically.

Answer:

\((x,y)\to(x + 4,y)\)