Question

Convert the function into standard form. Show your work. y-2=-3(x+4)^2

Answer 1

y = -3x² - 24 x + 50

Explanation:

y - 2 = - 3(x+4)²

y - 2 = -3(x²+8x+16)

y - 2 = -3x² -24x +48

y = -3x² - 24 x + 50

Answer 2

The standard form is

.

`y = - 3 {x}^(2) - 24x - 46`

EXPLANATION

The given function is

`y - 2 = - 3(x + 4)^(2)`

The standard form is given by

`y =a {x}^(2) + bx + c`

We expand to obtain:

`y - 2 = - 3( {x}^(2) + 8x + 16)`

We expand the parenthesis to obtain:

`y - 2 = - 3 {x}^(2) - 24x - 48`

Group the similar terms to obtain:

`y = - 3 {x}^(2) - 24x - 48 + 2`

`y = - 3 {x}^(2) - 24x - 46`

The standard form is

`y = - 3 {x}^(2) - 24x - 46`