f(x) = ax^2 + bx + c.
A(1,-9)
-9 = a(1)^2 + b(1) + c
-9 = a + b + c
B(2,-8)
-8 = a(2)^2 + b(2) + c
-8 = 4a + 2b + c
C(3,-5)
-5 = a(3)^2 + b(3) + c
-5 = 9a + 3b + c.
-9 - a - b = c
4a + 2b + c = -8
4a + 2b - 9 - a - b = -8
3a + b = --8 + 9
3a + b = 1
9a + 3b + c = -5
9a + 3b - 9 - a - b = -5
8a + 2b = -5 + 9
8a + 2b = 4
6a + 2b = 2
----------------- -
2a = 2
a = 2/2
a = 1.
3 + b = 1
b = 1 - 3
b = -2.
c = -9 - a - b
c = -9 - 1 - (-2)
c = -9 - 1 + 2
c = -10 + 2
c = -8
f(x) = ax^2 + bx + c
f(x) = 1x^2 + (-2)x + (-8)
f(x) = x^2 - 2x - 8.
a. y = x^2 - 2x - 8.
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f(x) = ax^2 + bx + c.
A(1,-9)
-9 = a(1)^2 + b(1) + c
-9 = a + b + c
B(2,-8)
-8 = a(2)^2 + b(2) + c
-8 = 4a + 2b + c
C(3,-5)
-5 = a(3)^2 + b(3) + c
-5 = 9a + 3b + c.
-9 = a + b + c
-9 - a - b = c
4a + 2b + c = -8
4a + 2b - 9 - a - b = -8
3a + b = --8 + 9
3a + b = 1
9a + 3b + c = -5
9a + 3b - 9 - a - b = -5
8a + 2b = -5 + 9
8a + 2b = 4
3a + b = 1
6a + 2b = 2
8a + 2b = 4
6a + 2b = 2
----------------- -
2a = 2
a = 2/2
a = 1.
3a + b = 1
3 + b = 1
b = 1 - 3
b = -2.
c = -9 - a - b
c = -9 - 1 - (-2)
c = -9 - 1 + 2
c = -10 + 2
c = -8
f(x) = ax^2 + bx + c
f(x) = 1x^2 + (-2)x + (-8)
f(x) = x^2 - 2x - 8.
a. y = x^2 - 2x - 8.