original image a ( 2, - 3 ) b ( 9, - 3 ) c ( 5, - 9 ) translation a' (, ) b' (, ) c'...
TRANSCRIPT
ORIGINAL IMAGE
A ( 2 , - 3 )
B ( 9 , - 3 )
C ( 5 , - 9 )
TRANSLATION
A' ( , )
B' ( , )
C' ( , )
Record the CoordinatesThen draw the original on grid 1.
Translate this image 4 units up, draw the image and record your new coordinates.
ORIGINAL
A ( -2 , - 9 )
B ( - 8 , 1 )
C ( 2 , 3 )
TRANSLATION
A' ( , )
B' ( , )
C' ( , )
Grid 2
ORIGINAL
A ( 4 , -2 )
B ( 8 , 3 )
C ( -3 , 2 )
TRANSLATION
A' ( , )
B' ( , )
C' ( , )
Grid 3
Translate this 4 units right, draw the image and record your new coordinates.
Translate this image 2 units down and 3 units left, draw the image and record your new coordinates.
ORIGINAL IMAGE
A ( 2 , - 3 )
B ( 9 , - 3 )
C ( 5 , - 9 )
TRANSLATION
A' ( , )
B' ( , )
C' ( , )
Record the CoordinatesThen draw the original on grid 4.
Reflect the image across the y- axis. Record your new coordinates.
ORIGINAL
A ( -2 , - 9 )
B ( - 8 , 1 )
C ( -11,- 11 )
TRANSLATION
A' ( , )
B' ( , )
C' ( , )
Grid 5
ORIGINAL
A ( 4 , -2 )
B ( 8 , -2 )
C ( 6 , -10 )
TRANSLATION
A' ( , )
B' ( , )
C' ( , )
Grid 6
Reflect the image over the y-axis. Record your new coordinates.
Reflect the image over the x-axis. Record your new coordinates.
ORIGINAL IMAGE
A ( - 8, 6 )
B ( -8 ,1 )
C ( -2 , 6 )
D ( -2 , 1 )
TRANSLATION
A' ( , )
B' ( , )
C' ( , )
D ' ( , )
Record the CoordinatesThen draw the original on grid 7
Translate this image 2 units right & 6 units down. FIND YOUR NEW COORDINATES, then graph the translation.
ORIGINAL IMAGE
A ( 6 , 11 )
B ( 12 , 11 )
C ( 3 ,4 )
D ( 10 , 4 )
TRANSLATION
A' ( , )
B' ( , )
C' ( , )
D ' ( , )
Record the CoordinatesThen draw the original on grid 8
Translate this image 8 units left & 9 units down. FIND YOUR NEW COORDINATES, then graph the translation.
ORIGINAL IMAGE
A ( - 11 , - 3 )
B ( - 7 , - 3 )
C ( - 11 , - 11 )
D ( - 7 , - 11 )
TRANSLATION
A' ( , )
B' ( , )
C' ( , )
D ' ( , )
Record the CoordinatesThen draw the original on grid 9
Translate this image 12 units right & 15 units up. FIND YOUR NEW COORDINATES, then graph the translation.
ORIGINAL IMAGE
A ( - 11 , - 3 )
B ( - 7 , - 3 )
C ( - 11 , - 11 )
D ( - 7 , - 11 )
REFLECTION
A' ( , )
B' ( , )
C' ( , )
D ' ( , )
Record the CoordinatesThen draw the original on grid 10
FIND NEW COORDINATES if you, Reflect the image over the y-axis. Graph the Reflection
ORIGINAL IMAGE
A ( 6 , 11 )
B ( 12 , 11 )
C ( 3 ,4 )
D ( 10 , 4 )
REFLECTION
A' ( , )
B' ( , )
C' ( , )
D ' ( , )
Record the CoordinatesThen draw the original on grid 11
FIND NEW COORDINATES if you, Reflect the image over the x-axis. Graph the Reflection
ORIGINAL IMAGE
A ( - 8, 6 )
B ( -8 ,1 )
C ( -2 , 6 )
D ( -2 , 1 )
REFLECTION
A' ( , )
B' ( , )
C' ( , )
D ' ( , )
Record the CoordinatesThen draw the original on grid 12
FIND NEW COORDINATES if you, Reflect the image over the x-axis and then the y-axis in that order . Graph the Reflections
REFLECTION
A' ' ( , )
B' ' ( , )
C' ' ( , )
D ' ' ( , )
Compare the original coordinates with those of the
translation. What do you notice?
Compare the original coordinates with those of the
reflection. What do you notice?
Remember….
RIGHT AND LEFT – You are working on the “x” axis/coordinate(Right is Positive so ADD) (Left is Negative so SUBTRACT)
UP & DOWN – You are working on the “y” axis/coordinate(Up is Positive so ADD) (Down is Negative so SUBTRACT)
Here’s what it means:
3 LEFT (subtract 3 from all of the “x” coordinates)3 RIGHT (add 3 to all of the “x” coordinates)5 UP (add 5 to all of the “y” coordinates)5 DOWN (subtract 5 from the “y” coordinates)
• When reflecting across the X-AXIS: (x coordinates will stay the same, y coordinates will be the opposite)
• When reflecting across the Y-AXIS: (y coordinates will stay the same,
x coordinates will be the opposite)
, let’s do some more graphing but this time FIND THE NEW COORDINATES OF EACH TRANSLATION OR REFLECTION BEFORE YOU GRAPH THE IMAGES.
Divide a Sheet of notebook paper into 6 parts or use the back of your previous page for recording the coordinates. Number your grids 7-12.
This time FIND COORDINATES FIRST, then graph to check your work.