contestada

If you vertically stretch the exponential function f(x) = 2^x by a factor of 3, what
is the equation of the new function?

A. f(x) = 5^x
B. f(x) = 2(3^x)
C. f(x) = 3(2^x)
D. f(x) = 6^x

Respuesta :

JeanaShupp

Answer: [tex]C. f(x) = 3(2^x)[/tex].

Step-by-step explanation:

If the graph of function y=f(x) is vertically stretched by a scale factor of 'k', then the new function will be :

[tex]Y=kf(x)[/tex]

The given function : [tex]f(x)=2^x[/tex]

If the given function vertically stretched by a scale factor of '3', then the new function will be :

[tex]Y=3f(x)=3(2^x)[/tex]

Hence, the correct option is [tex]C. f(x) = 3(2^x)[/tex].

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