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:

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation: