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 \( ax^2 + bx + c \) is: \[ f(x) = x^2 + 4x + 4 \]

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