The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?
http://s23.postimg.org/z45kqbyaz/khdaksdj.gif
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OpenStudy (misty1212):
HI!!
OpenStudy (misty1212):
find one with a \(+1\) out at the end if you have choices
OpenStudy (anonymous):
all of them do. lol
OpenStudy (anonymous):
-x^2+1
OpenStudy (misty1212):
find one with a coefficient greater than one
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OpenStudy (misty1212):
like \(2x^2+1\) or sommat
OpenStudy (anonymous):
4x^2+1
OpenStudy (anonymous):
x^2+1
OpenStudy (anonymous):
0.4x^2+1
OpenStudy (misty1212):
so far the one with the four in front
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OpenStudy (misty1212):
yeah pick \(4x^2+1\) mr X
OpenStudy (anonymous):
can you explain how to do it?
OpenStudy (anonymous):
lol "Mr.X"
OpenStudy (misty1212):
it is up one, that explains the plus one out at the end
OpenStudy (misty1212):
and it is narrower than \(x^2\) so the coefficient in front has to be larger than one
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OpenStudy (misty1212):
if it was a negative coefficient it would be flipped over the x axis
if the coefficient was less than one it would be wider
OpenStudy (misty1212):
you can also see that \((1,5)\) is on the graph and \(4\times 1^2+1=5\)