Which of the following functions is graphed above?
a.
f(x) = 4log(x + 4)
b.
f(x) = -4log(x + 4)
c.
f(x) = 4log(-x - 4)
d.
f(x) = -4log(-x + 4)

The answer is D ⇒ -4log(-x + 4)

Step-by-step explanation:

From the graph we chose the point of x-intercept (3 , 0)

∵ f(x) = -4log(-x + 4)

∴f(3) = -4log(-3 + 4) = -4log(1)

∵ log(1) = 0

∴f(3) = 0

If x = 0

∴ f(0) = -4log(0 + 4) = -4log4 = -2.40 ⇒ same value on the graph

∴ The answer is (D)

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

answer: my brother can figure it out, imma go get him so i can answer : ) edit: my brother is sleeping, sorry man

step-by-step explanation: