Converting from vertex form to standard form y = (1)/(2) (x - 2) {}^(2) - 4

Question

asked Mar 2, 2022 57.9k views

1 Answer

Evan Friedland · Answer 1 · 2022-03-07T06:44:33+0000

Answer:

$\displaystyle f(x)=(1)/(2)x^2-2x-2$

Explanation:

To convert from vertex form to standard form, we can simply expand.

So, we have:

$\displaystyle f(x)=(1)/(2)(x-2)^2-4$

Expand the square:

$\displaystyle f(x)=(1)/(2)(x^2-4x+4)-4$

Distribute:

$\displaystyle f(x)=(1)/(2)x^2-2x+2-4$

Simplify:

$\displaystyle f(x)=(1)/(2)x^2-2x-2$