Look, class. Whenever a parabolic graph is made, so there are two types of scenario. If power of x is 2 and power of y is 1. But x can also have power of 1, if x power is 2, it is necessary to be 2. This is a parabolic graph. What it is showing, how the parabolic graph between x and y will be? It will be Parabolic. What is the interesting in this, many times what happens is that c is zero and the function will look like that. Many times c is also zero as well as b is also zero. So the graph looks like this. In all these cases, what will be the nature of the graph? It will be Parabolic only. Or only b will be zero, in this case also what will the nature of the graph, it will be parabolic. Suppose x is square then the graph between x and y will be this type of parabolic graph, upward opening parabola or downward opening parabola. How we will come to know, that it is upward or downward opening? This one value, the sign of this one value will tell you if it is upward opening or downward opening. If the co-efficient of x squared is positive then it will be upward opening parabola and if the co-efficient of x squared is negative then it will be downward opening parabola. If power of y is 1 and power of x is 2 then either it will be upward opening parabola or downward opening parabola, okay, children. And suppose this relation will be like this that power of y is 2 and power of x is 1, it can be like this also. The face of the function can be anyhow but the power of y is 2 and power of x is 1 then also the graph will be parabola. But what will happen this time, children. The opening will be rightward or leftward. If the co-efficient of y squared is positive then it will be rightward opening parabola or the y squared co-efficient will be negative then it will become leftward opening parabola. Get my point? So if it is y squared then right or left opening parabola graph and if x squared then upward or downward opening parabola graph. These kinds of functions are called Parabolic graphs.

We came to know the trend but we will come to know the exact graph only through the parameters of the questions.

See, graph between v and x or velocity and position or velocity and displacement for constant acceleration. For constant and acceleration motion, how will the graph be between v and x. Let’s see the graph between velocity and position for constant acceleration.