Question

What is the vertex of `y= 2(x - 4)^2 - 2x^2+3`?

Answer 1

This is the equation of a straight line which does not have a vertex.

Explanation:

Expand the expression and simplify, then use completing the squares to get it into vertex form
`y = 2(x^2 - 8x + 16) - 2x^2 +3`
`y = 2x^2 - 16x + 32 - 2x^2 +3`
`y = -16x +35`
This is the equation of a straight line which does not have a vertex.