The coordinates of A are ( 4 , 5 )
Further explanation
There are several types of transformations:
- Translation
- Reflection
- Rotation
- Dilation
Let us now tackle the problem!
[tex]\texttt{ }[/tex]
This problem is about Translation.
Properties of Translation of the images compared to pre-images:
- preserve Side Length
- preserve Orientation
- preserve Collinearity
- preserve Betweenness of Points
- preserve Angle Measurement
[tex]\texttt{ }[/tex]
Given :
The image of coordinates A = A' = ( 4 , - 1 )
The translation vector is ( 0 , - 6 )
Let:
A = ( x , y )
[tex]A \overset{(a,b)}{\rightarrow} A'[/tex]
[tex]( x , y ) \overset{(a,b)}{\rightarrow} ( x + a , y + b )[/tex]
[tex]( x , y ) \overset{(0,-6)}{\rightarrow} ( x + 0 , y - 6 )[/tex]
[tex]( x , y ) \overset{(0,-6)}{\rightarrow} ( x , y - 6 ) = ( 4 , - 1 )[/tex]
x = 4
y - 6 = - 1
y = -1 + 6
y = 5
A = ( x , y ) = ( 4 , 5 )
[tex]\texttt{ }[/tex]
Conclusion :
The coordinates of A are ( 4 , 5 )
[tex]\texttt{ }[/tex]
Learn more
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Answer details
Grade: High School
Subject: Mathematics
Chapter: Transformation
Keywords: Function , Trigonometric , Linear , Quadratic , Translation , Reflection , Rotation , Dilation , Graph , Vertex , Vertices , Triangle , Vector , Image , Pre-Image , Coordinates
