Solve y=sqrt{-4x}

$$y= \sqrt{ -4x }$$

Solve for x

$$x=-\frac{y^{2}}{4}$$

$$y\geq 0$$

Steps for Solving Radical Equations

Swap sides so that all variable terms are on the left hand side.

$$\sqrt{-4x}=y$$

Square both sides of the equation.

$$-4x=y^{2}$$

Divide both sides by -4.

$$\frac{-4x}{-4}=\frac{y^{2}}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=\frac{y^{2}}{-4}$$

Divide y^{2} by -4.

$$x=-\frac{y^{2}}{4}$$

Solve for x (complex solution)

$$x=-\frac{y^{2}}{4}$$

$$arg(y)<\pi \text{ or }y=0$$

Solve for y (complex solution)

$$y=2\sqrt{-x}$$

Solve for y

$$y=2\sqrt{-x}$$

$$x\leq 0$$