3. Determine the quadratic function q(x) = ax²+bx+c which passes through the points: (1, 12), (4,9), and (0,5). (You can determine c quickly and then use the other two points to find a and b.) 4.a.) Put into vertex form by first determining the vertex: q(x)=2x²+7x-3

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3. Determine the quadratic function q(x) = ax²+bx+c which passes through the points: (1, 12),
(4, 9), and (0,5). (You can determine c quickly and then use the other two points to find a and b.)
4.a.) Put into vertex form by first determining the vertex: g(x)=2x²+7x-3
b.) put into vertex form by completing the square: g(x)=x²-20x+65
Transcribed Image Text:3. Determine the quadratic function q(x) = ax²+bx+c which passes through the points: (1, 12), (4, 9), and (0,5). (You can determine c quickly and then use the other two points to find a and b.) 4.a.) Put into vertex form by first determining the vertex: g(x)=2x²+7x-3 b.) put into vertex form by completing the square: g(x)=x²-20x+65
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