Question

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

Answer 1

Answer:

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

The equation is represented by a parabola.

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

Step-by-step 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) = $2(x -3)^{2}$

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

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