Question

a quadratic function is defined as $f(x) = (x + 4)^2 - 18$. what is the equation for this function in standard form?
enter your answer in the box provided.
$f(x) = $

Explanation:

Step1: Expand the squared binomial

$(x+4)^2 = x^2 + 8x + 16$

Step2: Subtract 18 from the result

$x^2 + 8x + 16 - 18$

Step3: Simplify the constant terms

$x^2 + 8x + (16-18) = x^2 + 8x - 2$

Answer:

$f(x) = x^2 + 8x - 2$