What will be the graph if x=t and x=t²?
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mmm4444bot
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Please define symbols x and t. Are they both variables?
Are you graphing in one or two dimensions?
I'd like to remind you again, please follow the guidelines, so tutors don't have to guess. We can't answer questions about what you're doing, if you don't tell us what you're doing.
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HallsofIvy
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Assuming that t and x are given on the two axes of a Cartesian coordinate system then, yes, the graph of "x= t" is a straight line. More generally, the graph of x= at+ b, where a and b are constants, is a straight line. And the graph of x= at^2+ bt+ c, where a, b, and c are constants, is a parabola.
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First of all, I would like to thank you that you reminded me of the forums guidelines and I will maintain it in the future. I am really sorry for my mistake. I have learned a lot here from you. I consider you all my teachers, more specifically, as gurus. Still, I am learning here. I admit that I have made a lot of mistakes. on the other hand, you all have tried to guide me, teach me as best as possible. For these reasons, I shall be very grateful to you all. I can't repay you in my lifetime. Please forgive me If I make any mistakes in course of writing. Thanking you.
Now back to the main points
Yes, they are both variables.
I am graphing it in two dimensions.
D
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Yes you are correct on both counts - as far as "what you have posted".
mmm4444bot
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Thanks for providing a clarification. Lines and parabolas (graphs of linear of quadratic functions, respectively) are an algebra topic. You posted on the Trigonometry Board, where we sometimes deal with vectors. Function x(t) could describe the magnitude of a position vector on the Real number (i.e., always pointing to the right, from the origin, with no vertical axis) and its growth over time. This behavior could be linear or quadratic or period (sine, cosine, etc.) or exponential (b^t), et cetera. This is why your op is ambiguous.
Speaking for myself only, I'm often not quite sure what you're discussing in ops because 1) important details are missing and 2) you're jumping back and forth from calculus to prealgebra to trigonometry to arithmetic to precalculus to algebra to differential equations. :idea: Speaking on behalf of myself and others, these things make it a challenge for people to gain a good sense of what you already know versus why you're stuck. Thank you for making a conscious effort to post ops with more-detailed explanation. This will save you time! (After all, you've already spent time even on this same conversation before, from me and from others; better to stick to the main point from the start). Cheers
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Harry_the_cat
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It would be the same as graphing y=x and y=x^2 on a set of x and y axes, except here your horizontal axis is t and vertical axis is x.
The other thing I'm thinking of is: Because you say the graph, it sort of implies one graph. Are you sure the question doesn't say x=t and y=t^2 ?
In this case they are parametric equations (with t as the parameter) and will yield one graph on a set of x and y axes.