Question

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

Answer 1

By stretching the exponential function vertically by 3, the new equation will become f(x) = 3(2x). By stretching the function, the value of y is multiplied by 3. For example the previous value of y, also f(x), will now be equal to 3f(x). 

Answer 2

The new function is 3f(x).

What happen when exponential function stretched  by factor a ?

suppose we have f(x) is an exponential function stretched by an factor a the the new function is,a multiply f(x)

Therefore,by stretching the exponential function vertically by 3,

The new equation will become f(x) = 3(2x).

By stretching the function, the value of y is multiplied by 3.

The previous value of y, also f(x), will now be equal to 3f(x).

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