y = \frac{ }{ } \left( { \left(0.5x \right) }^{ 2 } +1 \right)
Solve for y
y=\frac{x^{2}}{4}+1
Solve for x (complex solution)
x=-2\sqrt{y-1}
x=2\sqrt{y-1}
Solve for x
x=2\sqrt{y-1}
x=-2\sqrt{y-1}\text{, }y\geq 1
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y=1\left(\left(0.5x\right)^{2}+1\right)
Anything divided by one gives itself.
y=1\left(0.5^{2}x^{2}+1\right)
Expand \left(0.5x\right)^{2}.
y=1\left(0.25x^{2}+1\right)
Calculate 0.5 to the power of 2 and get 0.25.
y=0.25x^{2}+1
Use the distributive property to multiply 1 by 0.25x^{2}+1.
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