y = kx²
y = 6 when x = 6
6 = k.6²
6 = 36k
k = 6/36
k = 1/6
The constant variation is 1/6
y varies directly as xto the power of 2 means
[tex]\frac{y}{x^2}=k[/tex]
where k is constant of variation
when y=6 and x=6, find k
subsitute
[tex]\frac{6}{6^2}=k[/tex]
[tex]\frac{6}{36}=k[/tex]
[tex]\frac{1}[6}=k[/tex]
the constant of variation is [tex]\frac{1}{6}[/tex]