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Find a quadratic function associated with vertex (h, k) = (2, 1) and point (x, y) = (6, 7) that the parabola passes through.

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Try this option:
1. for vertex (2;1) the first equation is: h=-b/2a, it means 2=-b/2a or b=-4a;
2. for vertex (2;1) the second equation is: ax²+bx+c=y, it means 1=4a+2b+c;
3. for point (6;7) the third equation is: ax²+bx+c=y, it means 7=36a+6b+c.
4. using three equation, it is possible to make up the system of equations (and solve it). Details are in the attached picture.
answer:

y= (3)/(8)x^2 - (3)/(2)x + (5)/(2)
The graph is in the attachment.
Find a quadratic function associated with vertex (h, k) = (2, 1) and point (x, y) = (6, 7) that-example-1
Find a quadratic function associated with vertex (h, k) = (2, 1) and point (x, y) = (6, 7) that-example-2
User Natie
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