The quadratic ax^2 + bx + c can be expressed in the form 2(x - 8)^2 + 4. When the quadratic 3ax^2 + 2bx + c is expressed in the form n(x - h)^2 + k, what is h?
2(x- 8)^2 + 4 =
2 (x^2 -16x + 64) + 4
2x^2 - 32x + 128 + 4
2x^2 - 32x + 132 a = 2 b = -32 c = 132
So
3ax^2 + 2bx + c =
8x^2 - 64x + 132 =
8 ( x^2 - 8x ) + 132 complete the square on x
8 ( x^2 - 8x + 16) + 132 - 8(16)
8 ( x - 4)^2 + 4
h = 4
