x intercept is when y=0 (when the function touches the x axis). y intercept is when x=0 (when the function touches the y axis.) Find the x intercept by setting y = 0 then solving the equation for x. Find the y intercept by setting x=0 then solving the equation for y.

y intercept: . Set x=0: The y intercept is y=0.

x intercept: set y=0: square both sides

4x(2x+1) = 0

Either factor can = 0.

4x=0

x=0 is one x intercept.

(2x+1)=0

2x = -1

x = -1/2 is the other x intercept.