Question

What transformations ate required to obtain f(x) = 3/x+10 from the graph of y =1/x

Answer 1

\(\bf f(x) = \cfrac{3}{x}+10\qquad \qquad g(x)= \cfrac{1}{x}\\ \quad \\
\color{red}{3}\left(\cfrac{1}{x}\right)\color{red}{+10}\implies f(x)\)

y = A ( Bx + C ) + D

A = vertical stretch/shrink of the graph
D = vertical shift, D > 0, up, D < 0, down