Question

If you vertically compress the quadratic parent function, F(x) = x2, bymultiplying by 1/4, what is the equation of the new function?A. G(x) = x^2 + 1/4B. G(X) = 1/4x^2C. G(x) = (1/4x)^2D. G(X) = (x - 1/4)^2

Answer 1

Answer

Option B is correct.

g(x) = ¼ (x²)

Explanation

When a function is compressed or enlarged using a factor, k, then the resulting function, g(x), is simply the product of the compression or enlargement factor and the original function.

g(x) = k [f(x)]

For this question,

k = ¼

f(x) = x²

g(x) = ¼ (x²)

Hope this Helps!!!