Let f(x)=25x2−2 . the function g(x) is a vertical stretch of f(x) by a factor of 2. what is the equation of g(x)? enter your answer in the box. g(x) =

We are given function f(x) = 25x^2 -2.

g(x) is a vertical stretch of f(x) by a factor of 2.

We know, the transformation rule

y= k f(x), vertical stretch by a factor k. For k>0.

Because function f(x) is being vertical stretched by a factor of 2. So, we need to multiply f(x) function by 2.

Therefore, g(x) = 2 f(x) = 2*(25x^2-2).

Therefore, g(x) = 2*(25x^2-2) or g(x) = 50x^2-4.

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step-by-step explanation:

linear pair postulates