If the vertex of parabola y = - x + 8x-12 is p, and the intersection of parabola y = - x + 8x-12 and X axis is C and D, what is the area of triangle PCD

If the vertex of parabola y = - x + 8x-12 is p, and the intersection of parabola y = - x + 8x-12 and X axis is C and D, what is the area of triangle PCD

y
= -x² + 8x - 12
= -(x - 4)² + 4
So the vertex P coordinates (4, 4)
When y = 0, - X & # - 178; + 8x - 12 = 0
X = 2 or x = 6
So CD = 4
So s △ PCD = 4 × 4 △ 2 = 8