Question

module h
© 2016 kuta software llc all rights reserved.
translations, reflections & rotations
graph the image of the figure using the transformation given.
① translation: (x, y)→(x + 2, y + 1)

Explanation:

Step1: Identify original points

Assume the coordinates of points \(U\), \(Z\), \(F\), \(H\) from the graph. For example, if \(U=(x_1,y_1)\), \(Z=(x_2,y_2)\), \(F=(x_3,y_3)\), \(H=(x_4,y_4)\)

Step2: Apply translation rule

For point \(U\): The new - coordinate \(U'=(x_1 + 2,y_1+1)\)
For point \(Z\): The new - coordinate \(Z'=(x_2 + 2,y_2+1)\)
For point \(F\): The new - coordinate \(F'=(x_3 + 2,y_3+1)\)
For point \(H\): The new - coordinate \(H'=(x_4 + 2,y_4+1)\)

Step3: Plot new points

Plot \(U'\), \(Z'\), \(F'\), \(H'\) on the coordinate plane and connect them to form the translated figure.

Answer:

The new figure is obtained by plotting the points calculated above and connecting them. (Since the original coordinates of \(U\), \(Z\), \(F\), \(H\) are not given numerically, a numerical answer for the new coordinates cannot be provided precisely. But the general process is as above.)