Write the quadratic function in standard form.
f(x) = -x2 + 2x + 4
f(x) =

Step-by-step explanation:

Given:

The quadratic function is given as:

The standard form of a quadratic function is given as:

, where, 'a', 'h' and 'k' are real numbers.

Now, in order to convert the given function to standard form, we use completing by  square method.

Now, can be rewritten as:

Therefore, the standard form of the function is:

a² + b²= c²

24² + 7² = c²

c= 25