Let f(x)=1/2x2+4. The function g(x) is a vertical stretch of f(x) by a factor of 4. What is the equation of g(x)?

The equation of g(x) is

Explanation:

Given that the function f(x) is

Also, given that the function g(x) is a vertical stretch of f(x) by a factor of 4.

We need to determine the equation of g(x)

Equation of g(x):

The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).

Thus, we have,

Substituting the values,we have,

Simplifying the values, we get,

Hence, the equation of g(x) is

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step-by-step explanation: