Answer:
[tex]y=-3x^2+12x-19[/tex]
Step-by-step explanation:
we know that
The quadratic equation in standard form is equal to
[tex]y=ax^{2} +bx+c[/tex]
we have
[tex]y=-3(x-2)^{2}-7[/tex]
This is a quadratic equation in vertex form
Convert to standard form
[tex]y=-3(x^2-4x+4)-7[/tex]
Apply distributive property
[tex]y=-3x^2+12x-12-7[/tex]
Combine like terms
[tex]y=-3x^2+12x-19[/tex] ----> quadratic equation in standard form
