Drag each tile to the correct box. Order the quadratic functions from least to greatest based on the number of x-intercepts of each function.

Leftmost box: Graph, because it has zero x intercepts

Middle box: Function f with a vertex at 2, 0

Rightmost box: g(x)=x^2+x-2

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)