Question

Which of the following is the vertex of the quadratic equation y = 6x2 – 24x + 32?

Answer 1

y-8=6(x^2-4x+4)
or (y-8)=6(x-2)^2
hence vertex of the above parabola is at (2,8)

Answer 2

use vertex formula \[\frac{ -b }{ 2a }\]

Answer 3

b=-24 and a=6

Answer 4

\[\frac{ -(-24) }{ 2(6) }=2\]

Answer 5

then: \[6(2)^{2}-24(2)+32=8\]

Answer 6

(2,8)