y = ax² + bx + c
0 = a(2)² + 2b + c
0 = 4a + 2b + c
c = - 4a - 2b
0 = a(-4)² - 4b + c
0 = 16a - 4b + c
c = - 16a + 4b
c = c
- 4a - 2b = - 16a + 4b
- 4a + 16a = 4b + 2b
12a = 6b
b = 2a
- 4 = a(0)² + b(0) + c
c = - 4
0 = a(2)² + 2a(2) - 4
4 = 4a + 4a
8a = 4
a = 1/2
b = 2(1/2)
b = 1
y = x²/2 + x - 4
/\ = b² - 4ac
/\ = 1 - 4(1/2)(-4)
/\ = 1 + 8
/\ = 9
x = - b / 2a
x = - 1 / 2(1/2)
x = - 1 / 1
x = - 1
y = - /\ / 4a
y = - 9 / 4(1/2)
y = - 9 / 2
------------------------- > ( - 1 , - 9/2 )
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Answers & Comments
y = ax² + bx + c
0 = a(2)² + 2b + c
0 = 4a + 2b + c
c = - 4a - 2b
y = ax² + bx + c
0 = a(-4)² - 4b + c
0 = 16a - 4b + c
c = - 16a + 4b
c = c
- 4a - 2b = - 16a + 4b
- 4a + 16a = 4b + 2b
12a = 6b
b = 2a
y = ax² + bx + c
- 4 = a(0)² + b(0) + c
c = - 4
y = ax² + bx + c
0 = a(2)² + 2a(2) - 4
4 = 4a + 4a
8a = 4
a = 1/2
b = 2a
b = 2(1/2)
b = 1
y = ax² + bx + c
y = x²/2 + x - 4
/\ = b² - 4ac
/\ = 1 - 4(1/2)(-4)
/\ = 1 + 8
/\ = 9
x = - b / 2a
x = - 1 / 2(1/2)
x = - 1 / 1
x = - 1
y = - /\ / 4a
y = - 9 / 4(1/2)
y = - 9 / 2
------------------------- > ( - 1 , - 9/2 )