What is the standard form for the quadratic function? f( x ) = ( x − 3 )^2 + 5 f( x ) = x^2 +6x −4 f( x ) = x^2 −6x + 14 f( x ) = x^2 + 14 f( x ) = x^2 − 4 !

Step-by-step explanation:

The given quadratic function is:

We rewrite as:

We expand to get:

Combine similar terms

This the standard form the given quadratic function.

 Required function will be

Average rate of change will be $25 per month.

Step-by-step explanation:

Since we have given that

Eliza started her saving account with $100 .

So, Initial amount  = $100

Each month she deposits $25 into her account ,

So, Increment per month = $25

Now, we need a relationship between the amount Eliza deposit and the total amount in her amount will be

So, required function will be

In Second month, amount will be

In tenth month, amount will be

Average rate of change from second month to the 10 th month will be

Hence, average rate of change will be $25 per month.