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## Homework Statement

Find Parametric equation and vector equation for the portion of parabola y = 1+(x^2) from (1,2) to (2,5)

## Homework Equations

## The Attempt at a Solution

m = (2-1) i +(5-2)j = i +3j

x = t , y = 1+t^2

r(t) = ti + (2=3t)j, where 0<t<1

, but the ans given is

*r(t) = ti + (1+t^2) j , 1<t<2*Is my ans acceptable ?