The quadratic function f(x) = x² + 4x + 41 is converted into square form is f(x) = (x + 2)² + 37.
What is a quadratic equation?
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic function is given below.
f(x) = x² + 4x + 41.
The quadratic function is converted into square form by adding and subtracting the square of the half of the coefficient of x.
f(x) = x² + 4x + 41
Transform into square form. Then the quadratic function will be
f(x) = (x² + 4x + 4) + 41 – 4
f(x) = (x + 2)² + 37
The quadratic function f(x) = x² + 4x + 41 is converted into square form is f(x) = (x + 2)² + 37.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
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