contestada

What is the orientation of the plane curve?
x=t^2=4t
y=t-2

-down to the left and then down to the right
-up to the left and then up to the right
-down from the left and up from the left at the same time
-up to the right and down to the right at the same time

What is the orientation of the plane curve xt24t yt2 down to the left and then down to the right up to the left and then up to the right down from the left and class=

Respuesta :

Edufirst
Answer: -up to the right and down to the right at the same time


Explanation:

1) The curve is given by its parametric equations: 

x = t² - 4t
y = t - 2


2) You can solve that curve by eliminating the parameter t and so draw the curve.

Nevertheless, it is not necessary as the graph is also given.

3) The graph shows that the curve goes up to the right and also down to the right. This is, as x grows from x = - 4 the curve has to branches one goes up and the other goes down, so the answer is -up to the right and down to the right at the same time

The curve goes up to the right and down to the right at the same time option fifth is correct.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have equation of parabola in the parametric form:

[tex]\rm x=t^2-4t \\\\y=t-2[/tex]

After converting it to Cartesian form:

[tex]\rm y^{2}=x+4[/tex]

[tex]\rm y^{2}-x+4=0[/tex]

Here a = 1 which is a>0 (right)

Thus, the curve goes up to the right and down to the right at the same time option fifth is correct.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ2

Ver imagen maheshpatelvVT

Otras preguntas