Question

2. The table shows a quadratic variation.

a. Determine the constant of variation
b. Write an equation for the quadratic variation.

x 2 4 6 8
y 2 8 18 32

Answer 1

For a quadratic variation:
y = kx^2
2 = k(2)^2 = 4k
k = 2/4 = 1/2

Equation for the diect variation is:
y = 1/2 x^2