Assume that f(5)=8. So, (5, 8) is a point in the graph of f.
For g(x) to give us 8, we need x to be 12, because in that case we would have:
g(12)=f(12-7)=f(5), which is 8. Thus, (12, 8) is a point on the graph of g.
Comparing (5, 8) in f, and (12, 8) in g, we can see that the graph of g is the graph of f shifted 7 units to the right.
Answer: <span>C) The graph of g(x) is the graph of f(x) translated 7 units right.</span>
A number that stands out and isn't close to any other number
Given that
z₁ = 15 (cos(90°) + i sin(90°))
z₂ = 3 (cos(10°) + i sin(80°))
we get the quotient z₁/z₂ by dividing the moduli and subtracting the arguments:
z₁/z₂ = 15/3 (cos(90° - 10°) + i sin(90° - 10°))
z₁/z₂ = 5 (cos(80°) + i sin(80°))
so that z₁ is scaled by a factor of 1/3 and is rotated 10° clockwise.
They are all correct except in 5), 4+8 is 12, not 13.
Here’s my work to your question!
