Question

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

Explanation:

Step1: Identify original points

Let's assume the coordinates of points of the figure are \(U(x_U,y_U)\), \(H(x_H,y_H)\), \(F(x_F,y_F)\), \(Z(x_Z,y_Z)\).

Step2: Apply translation rule

For point \(U\), the new - coordinates \(U'(x_U + 2,y_U+1)\); for point \(H\), the new - coordinates \(H'(x_H + 2,y_H + 1)\); for point \(F\), the new - coordinates \(F'(x_F + 2,y_F+1)\); for point \(Z\), the new - coordinates \(Z'(x_Z + 2,y_Z+1)\).

Step3: Plot new points

Plot the new points \(U'\), \(H'\), \(F'\), \(Z'\) on the coordinate plane and connect them in the same order as the original figure to get the translated image.

Answer:

Plot the new points obtained by applying the translation \((x,y)\to(x + 2,y + 1)\) to each vertex of the original figure and connect them to form the translated figure.