which function represents a vertical stretch of an exponential function?\n$y = 2^x$\n$y = 3cdot2^x$\n$y =…

which function represents a vertical stretch of an exponential function?\n$y = 2^x$\n$y = 3cdot2^x$\n$y = 2^{3x}$

which function represents a vertical stretch of an exponential function?\n$y = 2^x$\n$y = 3cdot2^x$\n$y = 2^{3x}$

Answer

Brief Explanations:

A vertical stretch of a function ( f(x) ) is represented by ( a \cdot f(x) ) where ( a > 1 ). For an exponential function ( f(x) = 2^x ), multiplying the entire function by 3 (as in ( y = 3 \cdot 2^x )) results in a vertical stretch. The other options either represent the original function (( y = 2^x )) or a horizontal compression (( y = 2^{3x} )).

Answer:

B. ( y = 3 \cdot 2^x )