Question

20POINTS!!!!Let f(x)=3/4x2−1. The function g(x) is a vertical stretch of f(x) by a factor of 8. What is the equation of g(x)?

Answer 1

The function g(x) is a vertical stretch of f(x) by a factor of 8. This means that every output value of f(x) is multiplied by 8 to get the corresponding output value of g(x). So we can write:

g(x) = 8*f(x)

We know that f(x) = 3/4x^2 - 1, so we can substitute this into the equation for g(x):

g(x) = 8*(3/4x^2 - 1)

Simplify:

g(x) = 6x^2 - 8

Therefore, the equation of g(x) is g(x) = 6x^2 - 8.