Quadratic Equations: Standard and Vertex Form

Find the vertex of each equation:

1. $y=3x^2-6x+5$

2. $y=x^2+8x-3$

3. $y=-2x^2-x+1$

4. $y=5(x-7)^2-3$

5. $y=2.5(x+2)^2+1$

6. $y=2(x-6)^2-4$

Rewrite each of the following equations in vertex and standard form. 

7. vertex (1,2), point (2, -5)

8. vertex (3,6), y-intercept 2