Question

The graphs below have the same shape. What is the equation of the blue graph?

Answer 1

For this case we have that by definition of vertical translations of functions, it is fulfilled:

Assume $k> 0$:

To graph $y = f (x) + k$, the graph k units is moved up.

To graph $y = f (x) -k$, the graph moves k units down.

In the figure it is observed that:

The original function is $G (x) = x ^ 2$, the function was moved 4 units down. So, the new function is:

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

Answer:

Option B

Answer 2

Answer:

Option B is correct.

Step-by-step explanation:

G(x) = x^2

then f(x) = x^2-4

since the graph is shifted 4 units down because when something is subtracted from the function the graph is shifted down.

that's why f(x) = x^2-4.

Hence Option B is correct.