ABC is translated 4 units to the left and 8 units up, then reflected across the y-axis. Respond to the questions to determine A's coordinates following transformations. 1. Give the rule for translating a point 4 units left and 8 units up. 2. Where is A when the translation is complete? 3. Give the rule for reflecting a point over the y-axis. 4. What are the coordinates of A after the reflection? 5. After the two transformations, has A returned to its

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ABC is translated 4 units to the left and 8 units up, then reflected across the y-axis. Respond to the questions to determine A&#039;s coordinates following transformations. 1. Give the rule for translating a point 4 units left and 8 units up. 2. Where is A when the translation is complete? 3. Give the rule for reflecting a point over the y-axis. 4. What are the coordinates of A after the reflection? 5. After the two transformations, has A returned to its

Sevensis1977 · Accepted Answer

Step 1  1)  For 4 unit up we can define as   f(x,y)= f(x,y+h) [where h is the unit translated up]  = f(x,y+4)  For 8 unit left we can define it as  f(x,y)= f(x-b,y) [where b is the unit translated left]  The co-ordinates of A will be (7-4,5+8) i.e. (3,13) and the reflection to the y axis  The co-ordinates of A will be (-3,13)  2)  After translated ABC 8 unit left and 4 unit up. The point A will be located to  x=-3-4=-7  y=13+8=21  After, translated, the co-ordinates of A will be  (-7,21)

Himin1945 · Accepted Answer

Step 2  3)  When we reflect a point across the y-axis,  the y-coordinate remains the same,  but the x-coordinate is transformed into its opposite (its sign is changed).  The reflection of the point (x,y) across the y-axis is the point (-x,y).  4)  The co-ordinates of A after the reflection are  (7,21)  Step 3  5)  No,  After the two transformations the A has not returned to its original location because the value of x is same i.e. 7 but the value of y is changed to 21.

ABC is translated 4 units to the left and 8 units up, then reflected across the

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