How do you graph $y = \sqrt{2 x}$ $y=sqrt(2x)$ and how does it compare to the parent function?

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Answer 1 · 2017-09-02T03:10:25

$y$ $y$ is the standard graph of $\sqrt{x}$ $sqrtx$ scaled by $\sqrt{2}$ $sqrt2$

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

Remember: $\sqrt{a b} = \sqrt{a} \times \sqrt{b}$ $sqrt(ab) = sqrta xx sqrtb$

$:.y = sqrt2 xx sqrtx$

Hence, $y$ is the standard graph of $sqrtx$ scaled by $sqrt2$

This can be seen below by the graphs of $y$ (upper) and $sqrtx$ .

graph{(y-sqrt(2x))(y-sqrtx)=0 [-2.38, 4.548, -0.54, 2.923]}

How do you graph y=sqrt(2x)y=√2xy=sqrt(2x) and how does it compare to the parent function?