If the graph of is stretched vertically so it passes through the point

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

If the graph of

y = \left(\frac{1}{3}\right)^x

is stretched vertically so it passes through the point

\left(2, \frac{1}{12}\right)

, the equation of the transformed graph is: (A)

y = \frac{3}{4}\left(\frac{1}{3}\right)^x

(B)

y = \frac{4}{3}\left(\frac{1}{3}\right)^x

(C)

y = \frac{3^{x+1}}{4}

(D)

y = 4(3)^{1-x}