Answer:
The standard form of the quadratic equation is [tex]f(x)=-2x^{2}+12x-16[/tex]
Step-by-step explanation:
we know that
The standard form of a quadratic equation is
[tex]f(x)=ax^{2}+bx+c[/tex]
we have
[tex]f(x)=-2(x-3)^{2}+2[/tex]
convert to standard form
[tex]f(x)=-2(x-3)^{2}+2\\f(x)=-2(x^{2} -6x+9)+2\\f(x)=-2x^{2}+12x-18+2\\f(x)=-2x^{2}+12x-16[/tex]
