Question

Write y = 2x2-12x+25 in vertex form, plz show work.

Answer 1

`\frac {4 * (y - 7)}{8} = (x -3)^(2)`

The equation is represented by a parabola.

so, the vertex of the parabola is at (3, 7)

Explanation:

The equation is represented by a parabola. The equation is,

y =
`2x^(2) - 12x +25` (given)

⇒ y =
`2(x^(2) - 6x +9) + 7`

⇒ (y - 7) =
`2(x -3)^(2)`

⇒
`\frac {4 * (y - 7)}{8} = (x -3)^(2)`

so, the vertex of the parabola is at (3, 7)