Question

How do you write `y=x^2+5x-6` in vertex form, what is the vertex, y intercept, x intercept?

Answer 1

`y=x^2+5x-6`

Vertex form:
`y=(x+2.5)^2-12.25`

Vertex: `(-2.5,-12.25)`

Y intercept:
`y=(0)^2+5(0)-6`
`(0,-6)`

X intercepts:
`0=(x+2.25)^2-12.25`
`12.25=(x+2.25)^2`
`+-3.5=x+2.25`
`x=+-3.5-2.25`
`x=1.25, x=-5.75`
`(-5.75,0), (1.25,0)`