Question

Need answer ASAP !!!!

Answer 1

Answer:

Step-by-step 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 = $\frac{A_{a} }{A}$ = $\frac{24}{-96}$ = - $\frac{1}{4}$

b = $\frac{A_{b} }{A}$ = - 1

c = $\frac{A_{c} }{A}$ = 3

y = - $\frac{1}{4}$ x² - x + 3

Answer 2

Answer:

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

Step-by-step 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