Question

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

Answer 1

Answer:

y = -3x² - 24 x + 50

Step-by-step 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

ANSWER

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

$y = - 3 {x}^{2} - 24x - 46$