Question

Write the equation of the parabola in vertex form given the vertex (–2, 3) and point (0, 1).

Answer 1

`y=a(x-h)^2+k`
`y=a(x-(-2))^2+3`
`y=a(x+2)^2+3`
`1=a(0+2)^2+3`
`1=4a+3`
`(1-3)/(4)=a`
`-(1)/(2)=a`

the equation is

`y=-(1)/(2)(x+2)^2+3`