Question

In the following graph, g(x) is a transformation of the parent function f (x) = x². Which equation describes g (x)A) g (x) = (2x)²+3B) g (x) = (1/2x)²+3C) g (x) = (2x)²-3D) g (x) = (1/2x)²-3

Answer 1

Given f(x) = x^2

and the graph of g(x) as shown in the image

So,

As shown the graph of g(x) is translated 3 units down, then compressed

So, the equation of g(x)

will be

g(x) = (2x)^2 -3

the answer is option C) g (x) = (2x)²-3