Question

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

graph of function f of x equals x squared and graph of function g of x equals x squared plus 7

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

Numerical Answers Expected!

Answer 1

There are two given functions:

f(x)=x² and g(x)= x²+7.

A new function can be obtain by translating a parent function. For example if "a" will be added to function f(x) then the new function will be f(x)+a.

Similarly if 7 will be added to f(x)=x² then the new function will be g(x)=x²+7.

Hence, The function g(x) is obtained by adding 7 to f(x).