Question

if you vertically stretch the expontial function f(x) = 2^2 by a factor of 5, what is the equation of the new function?

Answer 1

Answer:

g(x) = $5(2^{2x} )$

Step-by-step explanation:

If a function f(x) is vertically stretched by a factor of k, the new function we get in the form of k.f(x).

Rule to be followed,

y = k.f(x)

Where k > 1

If the function is vertically compressed then 0 < k < 1

Following the same rule,

A function, f(x) = $2^{2x}$ when vertically stretched by a factor of 5,

Transformed function will be,

g(x) = $5(2^{2x} )$