Book Maths Puzzle Co-ordinate geometry

What is the equation of the parabola through the points (0,16) (1,1) and (2,-4)?

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Book Other Question

How to graph y=x+2
y=2x-1
in h={[[x][y][z][w]]} element of R4 where x=y and w=3y} and v=[[-1][2][3][1]]
How many basis vectors ar needed to span the space H?
how do you find the projection of v onto H?
h