A quadratic function is defined as 5(x)= (x+4)^2. what is the equztion for the function in stanterd form

Answer 1

To convert the quadratic function $f(x)=(x+4{)}^2$ into standard form, we need to expand and simplify it.

1. Start with the given function: $$f(x)=(x+4{)}^2$$

2. Expand the square: $$f(x)=(x+4)(x+4)$$ $$f(x)=x^2+4x+4$$

Thus, the equation of the quadratic function in standard form $a{x}^2+bx+c$ is: $$f(x)=x^2+4x+4$$

So, the standard form of the function is $f(x)=x^2+4x+4$.