 # ABC is translated 4 units to the left and 8 units up, then reflected across the prelimaf1 2021-11-18 Answered
ABC is translated 4 units to the left and 8 units up, then reflected across the y-axis. Answer the questions to find the coordinates of A after the transformations. 1. Give the rule for translating a point 4 units left and 8 units up. 2. After the translation, where is A located? 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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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)
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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.