Describe one difference between the graph of y=nx^2 and the graph of y=nx^3 for any rational number.

y=nx^2 has a parabolic graph that opens up and a vertex (minimum) of (0,0). This is an EVEN function, so the graph is symmetrical with respect to the y-axis.

y=nx^3 can be negative, zero or positive; it passes through (0,0), but is not a vertex. This is an ODD function, and the graph is symmetrical with respect to the origin.

step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2