Answer:
[tex]f(x)=6(x-2)^2-4[/tex]
Step-by-step explanation:
The equation in vertex form is
[tex]f(x)=a(x-2)^2 - 4[/tex]
Substituting in the coordinates (1,2) to find a,
[tex]2=a(1-2)^2 - 4 \\ \\ 2=a-4 \\ \\ a=6 \\ \\ \therefore f(x)=6(x-2)^2-4[/tex]
