Solve y=0.25left(x-8right)^2

$$y=0.25 { \left(x-8 \right) }^{ 2 }$$

Solve for y

$$y=\frac{\left(x-8\right)^{2}}{4}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-8\right)^{2}.

$$y=0.25\left(x^{2}-16x+64\right)$$

Use the distributive property to multiply 0.25 by x^{2}-16x+64.

$$y=0.25x^{2}-4x+16$$

Solve for x (complex solution)

$$x=-2\sqrt{y}+8$$

$$x=2\sqrt{y}+8$$

Solve for x

$$x=-2\sqrt{y}+8$$

$$x=2\sqrt{y}+8\text{, }y\geq 0$$