Question

If you vertically stretch the exponential function, f(x) = 2^x, by a factor of 4, what is the equation of the new function?

Answer 1

f( x ) = 4(
`2^x` )

Explanation:

If we vertically stretch a graph by a factor of 4, the " exponential slope " extending from the x - axis, should increase by a factor of 4 as well.

Therefore, the previous function is expressed by the following ...

f( x ) =
`2^x` ... then this new function should be -

f( x ) = 4(
`2^x` )

The equation of this new function is f( x ) = 4(
`2^x` )