The given function in the standard form of the equation is written as x²+4x+1.
A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
The "completing the squares" method aims to construct a quadratic equation of the form where the x variable is entirely covered by a single squared term, which is the square of a linear expression in x, as the name suggests.
The given function in the problem is;
f(x) = (x+2)²-3
Apply the identity
(x+a)²=x²+a²+2ax
f(x) = x²+4+4x-3
Simplify the equation as;
f(x) =x²+4x+1
The standard form in which the equation is written is ax²+bx+c.
Hence, the given function in the standard form of the equation is written as x²+4x+1.
To learn more about the function, refer to:
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