As you can see, the triangle has 3 vertices, located at:
(1,1) , (4,1) , (1,3)
after a translation 6 units to the left, the new coordinates will be:
(1 - 6,1) = (-5, 1)
(4 - 6, 1) = (-2, 1)
(1 - 6, 3) = (-5, 3)
after a reflection across the y-axis, the new coordinates will be:
(-5*(-1), 1) = (5,1)
(-2*(-1),1) = (2,1)
(-5*(-1), 3 ) = (5,3)
After these transformations, the coordinates of the triangle are:
(5,1) , (2,1) , (5,3)
Therefore, the correct choice is C.
In order to get the answer A, you can do the following:
As you can see the coordinates of the vertices of that triangle are:
(-10, 1) , (-7, 1) , (-7, 3)
So, first let's do a reflection across the y-axis:
(1*(-1) , 1) = (-1, 1)
(4*(-1) , 1) = (-4,1)
(1*(-1) , 3) = (-1, 3)
Now, we can do a translation 6 units to the left:
(-1 - 6, 1) = (-7,1)
(-4-6, 1) = (-10,1)
(-1-6,3) = (-7,3)
As you can see, they coincide with the coordinates of choice A