Question 17 (fill-in-the-blank worth 1 points) (09.01) 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 5 the function g(x) is obtained by adding to f(x). (only input integers) numerical answers expected! answer for blank 1:

5

Step-by-step explanation:

Here, the given function,

Let g(x) is obtained by adding k to f(x),

That is,

From equations (1) and (2),

Hence, g(x) is obtained by adding 5 to f(x).

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: