Question 1118785
Here is help for (a) only.


{{{y=a(x-(3+sqrt(2)))(x-(3-sqrt(2)))}}}

{{{y=a(x-3-sqrt(2))(x-3+sqrt(2))}}}

{{{y=a((x-3)-sqrt(2))((x-3)+sqrt(2))}}}

{{{y=a((x-3)^2-2)}}}


Solve the formula for a.
{{{a=y/((x-3)^2-2)}}}


Substitute the given point.
{{{a=1/((3-3)^2-2)}}}

{{{a=1/(-2)}}}


Substitute for the now found value of a in the factored form.
{{{y=-(1/2)((x-3)^2-2)}}}


From that, continue to simplify to get the 'standard' form you want.