Question

Complete the square, rewrite y = 3x2 - 24x + 10 in general form.

Answer 1

3x^2 - 24 = y - 10

3 (x^2 - 8) = y - 10

x^2 - 8 = (y-10)/3

x^2 - 8 + 16 = (y-10)/3 + 16

(x-4)^2 = (y-10)/3 + 16

(x-4)^2 - 16 = (y-10)/3

3(x-4)^2 - 54 = y - 10

y = 3(x-4)^2 - 44

Answer 2

How did you get 16?

Answer 3

@moneybird