Question

Complete the table values for y=x^2-x

Answer 1

Answer:

Without a table, we can't really complete one.

This can be easier though if you realise that:

y = x^2 - x

is identical to:

y = x(x - 1)

In other words, the table values are just 1 × 0, 2 × 1, 3 × 2, 4 × 3, etc., giving you the series (starting with x = 1)

0,  2, 6, 12, 20, 30, 42, 56, 72, 90, 110, 132, ...

This If you plot this on a graph, it gives you a parabola that opens upward. It's vertex is at (0.5, -0.25)