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Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve.

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(a)  sketch  the  curve  represented  by  the parametric equations (indicate the orientation of the curve) and (b) eliminate the parameter and write the corresponding rectangular  equation  whose  graph  represents  the  curve. Adjust  the  domain  of  the  resulting  rectangular equation  if necessary.

x = 1/4 t

y = t^2
asked Feb 2, 2015 in TRIGONOMETRY by anonymous

2 Answers

0 votes

Step 1:

(a)

The parametric equations are image and image.

Draw a table for different values of image.

image image image image image image image image
image image image image image image image image
image image image image image image image image
image image image image image image image image

Graph:

Draw the coordinate plane.

Plot the point obtained from the table.

Connect the points to a smooth curve.

image

Solution:

(a) Graph of the parametric curve is

image

answered Feb 6, 2015 by Lucy Mentor
0 votes

Step 1:

(b)

The parametric equations are image and image.

Consider image.

image

Substitute image in image.

image

Rectangular equation of the curve is image.

Solution:

(b) Rectangular equation of the curve is image.

answered Feb 6, 2015 by Lucy Mentor
edited Feb 6, 2015 by Lucy

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