re-write the quadratic function below in standard form\n\n$y=-3(x + 4)^2+8$

Explanation:

Step1: Expand the square term

Use the formula ((a + b)^2=a^{2}+2ab + b^{2}), where (a = x) and (b = 4). ((x + 4)^2=x^{2}+8x + 16) So, (y=-3(x^{2}+8x + 16)+8)

Step2: Distribute the - 3

Multiply each term inside the parentheses by - 3. (y=-3x^{2}-24x-48 + 8)

Step3: Combine like terms

Add the constant terms (-48) and (8). (y=-3x^{2}-24x-40)

Answer:

(y=-3x^{2}-24x - 40)