The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x): Part a: describe two types of transformations that can be used to transform f(x) to g(x)

Part b: solve for k in each type of transformation

Part c: write an equation for each type of transformation that can be used to transform f(x) to g(x)

Factor this polynomial completely x^2-64

Find dy/dx using implicit differentiation ln(20+e^xy)=y

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.