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The asymptote for f(x) is y = 0

Notice the asymptote for g(x) is y = -1, which shift f(x) down 1

apply this to f(x)'s rule:

Notice the graph of f(x) is shifted right 2 units...this horizontal movement must be applied to the x in f(x)'s rule:

Step-by-step explanation:

The asymptote for f(x) is y = 0

Notice the asymptote for g(x) is y = -1, which shift f(x) down 1

apply this to f(x)'s rule:

Notice the graph of f(x) is shifted right 2 units...this horizontal movement must be applied to the x in f(x)'s rule:

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

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: