Describe the transformation from LAP to L’A’P’.
A. Translation 1 unit
right and 3 units
down.
B. Reflection over
the x-axis.
C. Translation 1 unit
left and 3 units up.
The correct answer is C. Translation 1 unit left and 3 units up.
show work
To perform a translation 1 unit left and 3 units up, you simply subtract 1 from the x-coordinate and add 3 to the y-coordinate of each point.
Let's say the coordinates of the original points LAP are:
L(2, 4)
A(5, 8)
P(7, 2)
To find the coordinates of the new points L’A’P’ after the translation, we apply the translation as follows:
L’(2 - 1, 4 + 3) = L(1, 7)
A’(5 - 1, 8 + 3) = A(4, 11)
P’(7 - 1, 2 + 3) = P(6, 5)
Therefore, the transformation from LAP to L’A’P’ is a translation 1 unit left and 3 units up.