Answer:
Vertex form
Step-by-step explanation:
The given function is
[tex]y - 3 = \frac{1}{2} ( {x - 1)}^{2} [/tex]
This is a parabola.
It can be written in
1) standard form
2) vertex form
3) factored form
The vertex form is
[tex]y = a( {x - h)}^{2} + k[/tex]
The given function is in this form.
[tex]y = \frac{1}{2} ( {x - 1)}^{2} + 3[/tex]
