$y = 2x^2 - 24x + 54$ The given equation represents a parabola in the…

Question

Prompt

y = 2 x^{2} - 24 x + 54

The given equation represents a parabola in the xy-plane. Which of the following equations that represent the same parabola displays the x-intercepts as constants or coefficients?

y = 2 (x^{2} - 12 x) + 54

y = 2 x (x - 12) + 54

y = 2 (x - 6)^{2} - 18

y = 2 (x - 9) (x - 3)