 In this video, we provide the solution to question number 13 for the practice final exam from math 1050 This graph right here. You see on the screen. This is the graph of the equation x equals y squared So this is a parabola concave to the right-hand side there and we're asking some questions about symmetry What are the following statements are true? Statement I the graph is symmetric with respect to the white to the x-axis Notice if you reflected across the x-axis you actually get the original graph back This graph is symmetric with respect to the x-axis now I should mention that functions don't do this in general, but this graph does not pass the vertical line test So this is not our function in the usual sense Does the graph of the function is it's symmetric with respect to the y-axis well If we reflected this thing across the y-axis, we'd actually get a parabola that concave to the left That gives you something different. So 2 is not a true statement And then finally the graph is symmetric with respect to the origin Well, if you take a half spin around the origin you actually get the picture we had on the screen just a moment ago You end up with a parabola that's concave to the left. So no this graph is not Symmetric with respect to the origin. So the only one that's true was be that it is symmetric with respect to the x-axis So we choose option a