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![parametric to cartesian equation calculator parametric to cartesian equation calculator](https://i.ytimg.com/vi/QY15VEK9slo/maxresdefault.jpg)
![parametric to cartesian equation calculator parametric to cartesian equation calculator](https://d2vlcm61l7u1fs.cloudfront.net/media/2b1/2b1444de-1d1d-40d1-9929-c763a4ce7bb7/phpF5eVzk.png)
And if we look at this on a graph, it's a line that looks like this.
PARAMETRIC TO CARTESIAN EQUATION CALCULATOR PLUS
The two will cancel just giving us a two out front X plus five minus seven, distributing the to for two X plus 10 minus seven and then some combining like terms for a final answer of two X plus three. So why equals four? Instead of tea, we have X Plus five divided by two minus seven, which is the foreign. We have X Plus five equals to t, which gives us that exploits. Set up same difficulty, so we'll solve the X equals one. So we need to solve one of these equations for T, they both look like equally the same. Um, the main part was figuring out that this Parametric equation is equivalent to the y equals X squared parabola. That's not necessarily essential to know. Just like that on the left hand side of our equation, we would have the tea is less than zero values on the right hand side, we would have positive T values. If hugging in the points, this is just a alternative. So why equals X squared? This right here is our Cartesian equation just like that And what this looks like, why equals X squared is a parabola and and this is the alternative way to find the graph.
![parametric to cartesian equation calculator parametric to cartesian equation calculator](https://media.cheggcdn.com/media/81e/81eeec02-9552-4737-8c32-23f783895091/phpqFYt9g.png)
So now we have y equals nine x squared over nine. So instead of t, we're going to plug in X cubed squared. Now we're going to take this and plug it in to the y equals equation. So if we have X equals three t, that means that X over three is equal to T. We don't have to worry about the square or anything like that. Um, it's easier to solve this X equals three team. So we need to solve one of these equations for teeth. So the main goal when we're going from Parametric to Cartesian is you want to solve to eliminate the variable t So we want to eliminate t from the equations, okay? And then we should be good to go three t y whose 19 squared, and we want to find the Cartesian equation. So now we're going to plug the T equals equation into the other given Parametric curve and to the other given equation, and we're going to solve it and salt And then you should be You should eliminate the variable t and then you should be good to go. And then the next step is going to be to take that t equals equation that you saw for and Step one. So what, we're going to dio So this right here, this should be given along with an interval I But we're going to pick one of those equations, pick one equation and you're going to solve it for tea and Saul 14. So to do this, remember that your parametric equations are X equals f of tea and why equals g empty. We can find the Cartesian equation and continue on graphing like we would any Cartesian equation. So we're gonna find this is instead of plugging in the T values into X and y like we previously did. We know what the graph of the Cartesian equation usually looks like. If you're given the Parametric equation if you're given the equation in the Parametric form, um, this is another way to graph because we can.
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