It's A. All you have to remember here are your rules of translations. If there is side to side movement within a parabola it will be indicated within a set of parenthesis with the x coordinate. If there is no set of parenthesis with the x there is no side to side movement. The quantity

tells us that the vertex has moved left 3 units.
These are the answers:
1 D
2 B
Distance
|a+bi| is the length of the vector from origin to (a,b).
7+10x-2x-2=-3
—-Combine like terms...10x-2x=8x and 7-2=5
8x+5=-3
——subtract 5 on both sides.. the 5’s will cancel each other and -3-5=-8
8x=-8
——Divide 8 on both sides...the 8’s will cancel out and -8 divided by 8 = -1
Answer: x = -1