What is y equals x2 plus 7x plus 4 in vertex form?

Answer 1

You can get it to vertex form by completing the square:

y = x2 + 7x + 4

∴ y = x2 + 7x + (7/2)2 - (7/2)2 + 4

∴ y = (x + 7/2)2 - 49/4 + 16/4

∴ y = (x + 7/2)2 - 33/4