Question

The graphs below have the same shape. f(x) = x^2 what is the equation of the graph of g(x)?

Answer 1

Answer:

Answer: OPTION B

Step-by-step explanation

By definition, the parent function is the simplest form of  a function. In this case, you have the quadratic parent function

As you can see in the graph, the function g(x) is the obtained by shifting the parent function f(x) two units to the right, which is represented with:

Therefore, the equation of the function g(x) is:

Answer 2

Answer:

A. $g(x)=(x-4)^2$

Step-by-step explanation:

The graph of $f(x)=x^2$ is transformed to obtain the graph of g(x).

We can see from the diagram that, f(x) is shifted 4 units to the right to obtain the graph of g(x).

Therefore $g(x)=f(x-4)$.

Hence the equation of g(x) is

$g(x)=(x-4)^2$

The correct answer is A.