re-write the quadratic function below in standard form\n$y = 3(x - 1)^2 - 8$

re-write the quadratic function below in standard form\n$y = 3(x - 1)^2 - 8$

re-write the quadratic function below in standard form\n$y = 3(x - 1)^2 - 8$

Answer

Explanation:

Step1: Expand $(x-1)^2$

$(x-1)^2 = x^2 - 2x + 1$

Step2: Multiply by 3

$3(x^2 - 2x + 1) = 3x^2 - 6x + 3$

Step3: Subtract 8

$3x^2 - 6x + 3 - 8$

Step4: Simplify constants

$3x^2 - 6x - 5$

Answer:

$y = 3x^2 - 6x - 5$