Question

Need answer ASAP !!!!

Answer 1

y = -1/4x^2 - x + 3

Explanation:

(-6,0)

(-4,3)

(2,0)

36a - 6b + c = 0

16a -4b + c = 3

4a + 2b + c = 0

c = -4a - 2b

36a - 6b - 4a -2b = 0

16a - 4b -4a - 2b = 3

32a -8b = 0

12a - 6b = 3

4a - b = 0

4a - 2b = 1

b = -1

4a + 1 = 0

4a = -1

a = -1/4

c = 1 + 2 = 3

y = -1/4x^2 - x + 3

Answer 2

Explanation:

y = ax² + bx + c

( - 6)²a - 6b + c = 0 ⇒ 36a - 6b + c = 0

( - 4)²a - 4b + c = 3 ⇒ 16a - 4b + c = 3

2²a + 2b + c = 0 ⇒ 4a + 2b + c = 0

A =
`\left[\begin{array}{ccc}36&-6&1\\16&-4&1\\4&2&1\end{array}\right]` = - 96

`A_(a)` =
`\left[\begin{array}{ccc}0&-6&1\\3&-4&1\\0&2&1\end{array}\right]` = 24

`A_(b)` =
`\left[\begin{array}{ccc}36&0&1\\16&3&1\\4&0&1\end{array}\right]` = 96

`A_(c)` =
`\left[\begin{array}{ccc}36&-6&0\\16&-4&3\\4&2&0\end{array}\right]` = - 288

a =
`(A_(a) )/(A)` =
`(24)/(-96)` = -
`(1)/(4)`

b =
`(A_(b) )/(A)` = - 1

c =
`(A_(c) )/(A)` = 3

y = -
`(1)/(4)` x² - x + 3