Solve y=2{left(x/4right)}^2

$$y=2 { \left( \frac{ x }{ 4 } \right) }^{ 2 }$$

Solve for y

$$y=\frac{x^{2}}{8}$$

Solution Steps

To raise \frac{x}{4} to a power, raise both numerator and denominator to the power and then divide.

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

Express 2\times \frac{x^{2}}{4^{2}} as a single fraction.

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

Calculate 4 to the power of 2 and get 16.

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

Divide 2x^{2} by 16 to get \frac{1}{8}x^{2}.

$$y=\frac{1}{8}x^{2}$$

Solve for x (complex solution)

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

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

Solve for x

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

$$x=-2\sqrt{2y}\text{, }y\geq 0$$