Question

question a quadratic function ( f(x) ) is hidden from view. you must find all intervals where ( f(x) ) is negative. choose the form of the quadratic function ( f(x) ) that you would like to see in order to answer the question most efficiently. form: vertex form ( f(x) = (x - 2)^2 - 9 ) answer attempt 1 out of 2

Explanation:

Step1: Set function less than 0

$(x-2)^2 - 9 < 0$

Step2: Rearrange the inequality

$(x-2)^2 < 9$

Step3: Solve the square inequality

$-3 < x-2 < 3$

Step4: Isolate x

$-3 + 2 < x < 3 + 2$
$-1 < x < 5$

Answer:

$(-1, 5)$