Question

What is the graph of the following parametric equation? x = sqrt(t) and y = 2t - 3

(pls include a graph answer!)

Answer 1

Answer:

Th final equation is $Y = 2X^2 -3$

The graph is attached

Step-by-step explanation:

Given

$X = \sqrt{t} \\t = X^2$ --- Eq (1)

and $Y = 2t -3$ --- Eq (2)

Substituting the value of "t" from Eq (1) into Eq (2), we get -

$Y = 2X^2 -3$

The graph for the equation is attached here with

Answer 2

The Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.

What are parametric equations?

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

We have parametric functions:

x = √t ⇒ x² = t

y = 2t—3

Plug t = x² in the other equation, we get:

y = 2x² - 3

The graph will be a parabola.

Thus, the Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.

Learn more about the parametric function here:

brainly.com/question/10271163

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