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y=2(1-x²)

 Apr 21, 2016
 #1
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\(y=2\times(1-{x}^{2})\)

 

\(y=2-{2x}^{2}\)

 

\(y={-2x}^{2}+2\)

 

x-intercepts:

 

\(0=-{2x}^{2}+2\)

 

\(-2={-2x}^{2}\)

 

\(1={x}^{2}\)

 

\(±1=x\)

 

\(x=±1\)

 

\(x=1\) and \(x=-1\)

 

\((1,0)\) and \((-1,0)\)

 

y-intercept:

 

\(y=-{2(0)}^{2}+2\)

 

\(y=-2(0)+2\)

 

\(y=0+2\)

 

\(y=2\)

 

\((0,2)\)

 

Graph:

 

https://www.desmos.com/calculator/3z5kcmj8oi

 Apr 21, 2016
edited by gibsonj338  Apr 21, 2016

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