Answer: Correct answer is (x, y) → ( x − 3, y − 4); (5, −1)
Step-by-step explanation: Starting from point 8,3 we go down 4 on the y-axis (y-4)and stopping at -1 then we go left on the x-axis (x-3) stopping at 5.
So the new coordinate for the vertex C should read 5,-1.
After the translation , the coordinates of vertex C are ( 5 , -1 )
There are several types of transformations:
Let us now tackle the problem!
This problem is about Translation.
The triangle is translated 4 units down and 3 units left.
The rule that represents the translation will be [tex]\left[\begin{array}{ccc}-3\\-4\end{array}\right][/tex]
Let's find the translation for every vertice of Triangle ABC:
A(-3 , 4) → A'(-3 + (-3) , 4 + (-4)) = A'(-6 , 0)
B(4 , -2) → B'(4 + (-3) , -2 + (-4)) = B'(1 , -6)
C(8 , 3) → C'(8 + (-3) , 3 + (-4)) = C'(5 , -1)
From the results above, we can illustrate the translation process as shown in the attached picture
After the translation , the coordinates of vertex C are ( 5 , -1 )
Grade: High School
Subject: Mathematics
Chapter: Function
Keywords: Function , Trigonometric , Linear , Quadratic , Translation , Reflection , Rotation , Dilation , Graph , Vertex , Vertices , Triangle
