The quadratic ax^2+bx+c can be expressed in the form 2(x-4)^2+8. When the quadratic 3ax^2+2bx+c is expressed in the form n(x-h)^2+k, what is h?
Convert vertex form to standard form: 2(x−4)2+8=2(x2−8x+16)+8=2x2−16x+40
This means that a=2, b=−16, and c=40. So, the quadratic we need to convert to vertex form is 6x2−32x+40.
Note that in vertex form (which we need to convert it to), the vertex occurs at (h,k).
This means we need to find the x-coordinate of the vertex, which occurs at −b2a=3212=83.