6. g(x) = x^2 + ax + b
g(2) = 2^2 + a(2) + b = 3
4 + 2a + b = 3
2a + b = -4 = 3 = -1
2a + b = -1
g(5) = 18
g(5) = 5^2 + a(5) + b= 18
= 25 + 5a + b = 18
= 5a + b = -25 + 18 = -7
= 5a + b = -7
5a + b = -7 -
-3a = 6
a = 6/3 = 2
2(2) + b = -1
4 + b = -1
b = -1 -4 = -5
g(x) = x^2 + ax + b
f(-3) = -3^2 + a(-3) + b
= 9 - 6 - 4 = -1
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f(x) = x² + px + q
5 = 0² + p * 0 + q
6. g(x) = x^2 + ax + b
g(2) = 2^2 + a(2) + b = 3
4 + 2a + b = 3
2a + b = -4 = 3 = -1
2a + b = -1
g(5) = 18
g(5) = 5^2 + a(5) + b= 18
= 25 + 5a + b = 18
= 5a + b = -25 + 18 = -7
= 5a + b = -7
2a + b = -1
5a + b = -7 -
-3a = 6
a = 6/3 = 2
2a + b = -1
2(2) + b = -1
4 + b = -1
b = -1 -4 = -5
g(x) = x^2 + ax + b
f(-3) = -3^2 + a(-3) + b
= 9 - 6 - 4 = -1