Answer: C. [tex]y=3(x+2)^{2} +5[/tex]
Step-by-step explanation:
1. You have the following equation of the parabola in Vertex form:
[tex]y=a(x-h)^{2}+k[/tex]
Where h is the x-coordinate of the vextex and k is the y-coordinate of the vextex.
2. You know that the vertex of this parabola is at (-2, 5), then, susbtitute this point into the equation. Then, you obtain:
[tex]y=3(x+2)^{2}+5[/tex]
3. Therefore, the answer is the option C.
