6.4b Parametric Equations - Eliminate the parameter

Eliminate the parameter from x(t) = t² + 5 and y(t) = t² - 4. Which of the following sketches results?

• Linear
• Quadratic
• Quartic
• Square Root

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Write the rectangular equation for the following parametric equations.

x = 4cosθ

y = 3sinθ^

Tags

CCSS.HSA.REI.C.8

What is the center and radius of the curve:
x=1+3cost
y=-2+3sint

• (-1,2) , r=3
• (-1,2) ,  r=9
• (1,-2) ,  r=3
• (1,-2) ,  r=9

The horizontal distance a projectile travels is represented by

• x

• y

• t

The vertical distance a projectile travels is represented by

• x

• y

• t

Write the rectangular equation for the following parametric equations.

x = 4cosθ

y = 3sinθ^

Tags

CCSS.HSA.REI.C.8

What curve do the parametric equations make?

x=1+3sint y=-2+4cost

• Circle

• Line

• Parabola

• Ellipse

Eliminate the parameter.

x = t and y = 5t

• y=5x²

• y=5x

• y= x - 5

• y=x²

Eliminate the parameter.

x= 2+4t and y=-1+6t

• y=(3/2)x - 4

• t=(x-2)/4

• y=x - 4

• y= (2/3)x + 4

Write x = 2t  and y = t² + 3  in rectangular form .

• y = 4x²  + 3
• y = ¼ x² + 3
• y = 4t² + 12
• y = (x - 2)² + 3