Express the following quadratic function in vertex form. f(x)=-2x^2+x-2

f(x) = - 2(x - )² -

the equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

• the coefficient of the x² term must be 1 , factor out - 2

= - 2(x² - x) - 2

• add / subtract (half the coefficient of the x-term )² to x² - x

= - 2(x² + 2(- )x + - ) - 2

= - 2(x - )² + - 2

= - 2(x - )² -

so then what are you asking?

step-by-step explanation: