Please solve the following:
1. The graph of the quadratic y = ax^2 + bx + c is a parabola that passes through the points (-1,7), (5,7), and (6,10). What is the x-coordinate of the vertex of the parabola?
2. The graph of y=ax^2+bx+c contains the points (-1,0), (0,5), and (5,0). Find the value 100a+10b+c.
3. Points A and B are on the parabola y=4x^2+7x-1, and the origin is the midpoint of line AB. What is the length of line AB?
4. Find a+b+c if the graph of the equation y=ax^2+bx+c is a parabola with vertex (5,3), vertical axis of symmetry, and contains the point (2,0).
6. Consider the parabola y=3x^2-12x+15. What is the vertex of this parabola?
7. What is the equation of the line of symmetry of the parabola y=3x^2-12x+15?
8. The graph of y=ax^2+bx+c passes through points (0,5), (1,10), and (2,19). Find a+b+c.
Good Luck!
