Question

What is the vertex form of #y=23x^2-37x-29?

Answer 1

`y+4037/92=23(x-37/46)^2`

Explanation:

`y=23x^2-37x-29`

`=23(x^2-37/23x)-29`

`=23(x^2-37/23x)-29`

`=23(x^2-2xx37/46x+(37/46)^2)-23xx(37/46)^2-29`

`=23(x-37/46)^2-37^2/92-29`

`=23(x-37/46)^2-1369/92-29`

`=23(x-37/46)^2-4037/92`

or `y+4037/92=23(x-37/46)^2`

and vertex is `(37/46,-4037/92)` or `(37/46,-43 81/92)`

graph{23x^2-37x-29 [-2, 3, -50.7, 29.3]}

{Graph not to scale}