Triangle STU is located at S (2,1), T (2,3), and U (0,-1). The triangle is then transformed using the rule (x-4, y+3) to form the image S'T'U'. What are the new coordinates of S', T', and U'? Describe what characteristics you would find if the corresponding vertices were connected with the line segments. . Help I don't understand!!
I think the characteristics of the function is drastically change in terms of constructing the vertices and forming the triangle. The new coordinates base on your rules is S(-2.4), T(-2,6) and U(-4,2). I hope you are satisfied with my answer
Answer:
The coordinates of S', T', and U' are (-2,4), (-2,6) and (-4,2) respectively. From the below graph it is clearly noticed that the triangle shifts 4 units left and 3 units up.
Step-by-step explanation:
The given vertices of triangle STV are S (2,1), T (2,3), and U (0,-1).
The rule of translation is
\((x,y)\rightarrow (x-4,y+3)\)
The vertices of triangle S'T'V' are
\(S(2,1)\rightarrow (2-4,1+3)=S'(-2,4)\)
\(T(2,3)\rightarrow (2-4,3+3)=T'(-2,6)\)
\(V(0,-1)\rightarrow (0-4,-1+3)=V'(-4,2)\)
The coordinates of S', T', and U' are (-2,4), (-2,6) and (-4,2) respectively.
From the below graph it is clearly noticed that the triangle shifts 4 units left and 3 units up.