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Explain how you would graph the following set of parametric equations by plotting points and describing the orientation.

x=3t and y=t^2

Respuesta :

asadullahgiki
Concept:

First eliminate the t from x=3t and then put it in y=t² and then graph it. As, limit of t is not  restricted so t ∈ R(all real numbers)

As it is difficult to make graph here so I have solved it by hand and add all detail regarding it.
Ver imagen asadullahgiki
ashishdwivedilVT

By establishing a relationship between dependent and independent variables, a graph can be plotted easily.

Given parametric equations are:

[tex]x=3t...EQ1\\\\y=t^2.....EQ2[/tex]

What are parametric equations?

It is a type of equation that employs an independent variable called a parameter (often denoted by t) and in which dependent variables are defined as continuous functions of the parameter and are not dependent on another existing variable.

First, establish a relation between y and x by eliminating t.

Make a square of EQ1

[tex]x^{2} =9t^2...EQ3[/tex]

Divide EQ2 by EQ3

[tex]\frac{y}{x^2} =\frac{t^2}{9t^2}[/tex]

[tex]y =\frac{x^{2} }{9}[/tex]

Now, the graph of the equation [tex]y =\frac{x^{2} }{9}[/tex]can be easily plotted.

Thus, By establishing a relationship between dependent and independent variables, a graph can be plotted easily.

To get more about parametric equations visit:

https://brainly.com/question/21845570

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