The function y = (x - 4)2 + 3 is a transformation of the function y = x?. How is the function's vertex affected by the transformation?
The vertex of the graph of y = x? is shifted to the left 4 units and down 3 units.
The vertex of the graph of y = x? is shifted to the left 3 units and down 4 units.
The vertex of the graph of y = x is shifted to the right 3 units and up 4 units.
The vertex of the graph of y = x?is shifted to the right 4 units and up 3 units.

The vertex of the graph of y = x is shifted to the right 3 units and up 4 units.

The vertex of the graph of y = x?is shifted to the right 4 units and up 3 units.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

4

step-by-step explanation:

6 (donuts) divided by 3 is 2.

so 2/3 means 2 times 2, which is 4/6.

you get two and your friend gets four.