A curved graph is a graph usually used to find the earthquake's epicentre. It involves finding the time of the earthquake, (P-S waves) and then plotting that onto the graph. So when your time hits the curve you simply measure straight down and that's you distance from the earthquake. Easy!
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When there is a curved line going upwards on a graph it means the distance is increasing
Yes.
price or equilibrium A curve
That means the speed (the slope of the position-time graph) is decreasing.
Not curved.