Question

The following graph shows the functions f(x) and g(x):

The function g(x) is obtained by adding _______ to f(x). (only input integers)

Numerical Answers Expected!

Answer for Blank 1:

Answer 1

The function g(x) is obtained by adding 3 to f(x).

The vertex of f(x) is at (0,0), and the vertex of g(x) is at (0,3). This means that 3 points should be adding to f(x) to achieve g(x); this shifts f(x) upwards 3 points.

Answer 2

The function g(x) is obtained by adding 3 to f(x).

Explanation:

We have been given the graph of two functions.

So, we can see that the f(x) has its vertex at the origin and after some transformation the graph is shifted upwards vertically by 3 units or which is shifted 3 units up.

So, the graph of g(x) has the vertex (0,3).

So, the function g(x) is obtained by adding 3 to f(x).