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# Sketch and identify a quadric surface that could have the traces shown.Traces in $x = k$Traces in $z = k$

## This is a one-sheeted hyperboloid

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So, um, for this problem, we want to look at when x is constant. When x is constant, we see we get the equation of the form P Y squared plus Q Z squared equals one. Lindsay is constant. We get something of the form M X squared minus and Y squared equals one. And therefore we have an equation of the surface that's of the form a X squared minus B y squared plus C Z squared equals one, and that's going to be a one sheeted hyperba, Lloyd. So the way we make sense of this is if we have, um, our Z axis and then we have the Y axis, and then we have our X axis. What we end up seeing is that this sheet will be in such a way that it opens up here, and then it kind of has this hourglass shaped like this. So that would be our one sheeted hyper Boyd

California Baptist University

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