Answer:
Translation of 6 units left.
Reflection in the x-axis.
Explanation:
Figure T
- (1, -4)
- (5, -1)
- (8, -4)
- (3, -8)
Translate 6 units left: (x, y) → (x-6, y)
- (1, -4) → (1-6, -4) = (-5, -4)
- (5, -1) → (5-6, -1) = (-1, -1)
- (8, -4) → (8-6, -4) = (2, -4)
- (3, -8) → (3-6, -8) = (-3, -8)
Reflect in the x-axis: (x, y) → (x, -y)
- (-5, -4) → (-5, 4)
- (-1, -1) → (-1, 1)
- (2, -4) → (2, 4)
- (-3, -8) → (-3, 8)
Figure U
- (-5, 4)
- (-1, 1)
- (2, 4)
- (-3, 8)
Therefore, the series of transformations that map Figure T onto Figure U are:
- Translation of 6 units left.
- Reflection in the x-axis.