Answer:
Parabola
Explanation:
Simplify the expression y=(x - 2) x (x - 4)
Move terms, move variables to the left side and change their signs y=x2 - 6x + 8
-y2 + 6x + y = 8
Move variables to their right side and change its sign - x2 + 6x = 8 - y
Use the commutative properly to reorder th terms - x2 + 6x = y + 8
Multiply both sides -1 - x2 - 6x = y - 8
To complete the square, the same value needs to be added to both sides x2 - 6x +? = y - 8 +?
Add 9 to right side x2 - 6x +9 = y - 8 +9
Using a2 - 2ab + b2 = (a - b) 2 factor the expression (x - 3)2 = y - 8 + 9 calculate the sum (x-3)2 = y+1
Since the equation can be written in form (x-k)2 =4px (y = h), the equation represents parabola