Rewrite f(x) = -2(x - 3)² + 2 from vertex form to standard form.

Solution:

Given, the equation in vertex form is f(x) = -2(x - 3)² + 2.

We have to rewrite the equation in standard form.

The standard form of the equation is given by ax² + bx + c.

By using algebraic identity,

(a - b)² = a² - 2ab + b²

f(x) = -2(x² - 6x + 9) + 2

f(x) = -2x² + 12x - 18 + 2

f(x) = -2x² + 12x - 16

Therefore, the equation in standard form is f(x) = -2x² + 12x - 16.

Rewrite f(x) = -2(x - 3)² + 2 from vertex form to standard form.

Summary:

Rewriting f(x) = -2(x - 3)² + 2 from vertex form to standard form, the equation is f(x) = -2x² + 12x - 16.