Answer:
[tex]\frac {4 \times (y - 7)}{8} = (x -3)^{2}[/tex]
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 = [tex]2x^{2} - 12x +25[/tex] (given)
⇒ y = [tex]2(x^{2} - 6x +9) + 7[/tex]
⇒ (y - 7) = [tex]2(x -3)^{2}[/tex]
⇒ [tex]\frac {4 \times (y - 7)}{8} = (x -3)^{2}[/tex]
so, the vertex of the parabola is at (3, 7)
