Step 1
We need to determine the shape of the given conic section using its equation.
Step 2
We know that, for the general equation of conic section
if
For the given equation,
Step 3
The graph of the parabola has been shown below.
Let L : P2 P3 be a linear transformation for which we
know that L(1) = 1, L(t) = t 2, L(t 2) = t 3 + t.
(a) Find L(2t 2 - 5t + 3). (b) Find L(at 2 + bt + c).