Express f(x)=-2x^2+4x+1 in the form f(x)=a(x-h)^2+k. Find the vertex and the y-intercept and then graph the function. I have no idea where to even begin. Anyone?
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Originally Posted by ZE2001 Express f(x)=-2x^2+4x+1 in the form f(x)=a(x-h)^2+k. Find the vertex and the y-intercept and then graph the function. I have no idea where to even begin. Anyone? Rewrite it as $\displaystyle -2(x^2-2x)+1$, then complete the square on $\displaystyle -2(x^2-2x)$ Can you try to take it from here?
Originally Posted by Chris L T521 Rewrite it as $\displaystyle -2(x^2-2x)+1$, then complete the square on $\displaystyle -2(x^2-2x)$ Can you try to take it from here? Okay here's what I came up with: f(x)=(x-1)^2-3/2
Originally Posted by ZE2001 Okay here's what I came up with: f(x)=(x-1)^2-3/2 Nearly You just forgot -2 factor f(x)=-2[(x-1)^2-3/2] f(x)=-2(x-1)²+3
Originally Posted by running-gag Nearly You just forgot -2 factor f(x)=-2[(x-1)^2-3/2] f(x)=-2(x-1)²+3 Thank you!
Last edited by ZE2001; Nov 29th 2008 at 12:22 PM. Reason: nevermind!
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