Solve y=mx^2+b

$$y = m x ^ { 2 } + b$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=-\frac{b-y}{x^{2}}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&y=b\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$mx^{2}+b=y$$

Subtract b from both sides.

$$mx^{2}=y-b$$

The equation is in standard form.

$$x^{2}m=y-b$$

Divide both sides by x^{2}.

$$\frac{x^{2}m}{x^{2}}=\frac{y-b}{x^{2}}$$

Dividing by x^{2} undoes the multiplication by x^{2}.

$$m=\frac{y-b}{x^{2}}$$

Solve for m

$$\left\{\begin{matrix}m=-\frac{b-y}{x^{2}}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&y=b\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$mx^{2}+b=y$$

Subtract b from both sides.

$$mx^{2}=y-b$$

The equation is in standard form.

$$x^{2}m=y-b$$

Divide both sides by x^{2}.

$$\frac{x^{2}m}{x^{2}}=\frac{y-b}{x^{2}}$$

Dividing by x^{2} undoes the multiplication by x^{2}.

$$m=\frac{y-b}{x^{2}}$$

Solve for b

$$b=y-mx^{2}$$