points g(x) = (1,2); (4,4)

Question

f(x) = (1,4); (4,8)
how can g(x) be expressed as a transformation of f(x)?

Answer 1

To express g(x) as a transformation of f(x), we can see that g(x) is obtained by multiplying each y-coordinate of f(x) by 0.5.

Therefore, the transformation from f(x) to g(x) can be expressed as:

g(x) = 0.5 * f(x)

Applying this transformation to f(x) = (1,4); (4,8), we get:

g(x) = (0.5 * 1, 0.5 * 4); (0.5 * 4, 0.5 * 8)
g(x) = (0.5, 2); (2, 4)

Thus, g(x) can be expressed as a transformation of f(x) by multiplying each y-coordinate of f(x) by 0.5.