How would you solve this problem

Hey guys, I have been killing some of the neurons I got left trying to solve these 2 problems..

Find the coordinates of the vertex and the axis of symmetry of the graph of the equation. If necessary, complete the square on x to write the equation in the form y = a(x - h)² + k

1) y = (x - 5)² + 1

Find the coordinates of the vertex (____ , ____)
Find the axis of symmetry. ___________

2) y = 3x² + 6x + 7

Find the coordinates of the vertex (____ , ____)
Find the axis of symmetry. ___________


If anyone knows how to solve and explain them to me, I'll be greatly thankful

1) The vertex has coordinates (5, 1).
The axis of symmetry is x = 5.

2) y = 3x^2 + 6x + 7
y = 3(x^2 + 2x) + 7
y = 3(x^2 + 2x + 1) + 7 - 3
y = 3(x + 1)^2 + 4

The vertex has coordinates (-1, 4).
The axis of symmetry is x = -1.

1) vertex at (5, 1) and so the axis of symmetry would be at the line x = 5

2) y = 3(x^2 + 2x + 1 - 1) + 7
= 3(x + 1)^2 + 4
vertex at (-1, 4)
axis of symmetry at x = -1