Solve y=-4sqrt{x}

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

Solve for x

$$x=\frac{y^{2}}{16}$$

$$y\leq 0$$

Steps for Solving Radical Equations

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

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

Divide both sides by -4.

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

Dividing by -4 undoes the multiplication by -4.

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

Divide y by -4.

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

Square both sides of the equation.

$$x=\frac{y^{2}}{16}$$

Solve for x (complex solution)

$$x=\frac{y^{2}}{16}$$

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

Solve for y

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

$$x\geq 0$$