identify a transformation of a function f(x)=x^2 by observing the equation of the function g(x)=5(x)^2

Thus the function g is the function f stretched vertically by a factor 5.

Step-by-step explanation:

Multiplication of a function by a constant:

When a function is multiplied by a constant a > 1, the function is stretched vertically by a factor of 5.

In this question:

f(x) = x^2

g(x) = 5x^2

Thus the function g is the function f stretched vertically by a factor 5.