7.5 Pt 3-4 Parametric Equ- Write Rectangular and Graph Bank

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^

• $\frac{x^2}{9}+\frac{y^2}{16}=1$

• $\frac{y^2}{9}+\frac{x^2}{16}=1$

• $\cos^2\theta+\sin^2\theta=1$

• $\frac{x^2}{9}-\frac{y^2}{16}=1$

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

Tags

CCSS.HSG.GPE.A.1

Sketch the curve of x(t) = 2t + 1 and y(t) = t² + 2.

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What curve do the parametric equations make? What is the direction of motion?
x=1+3sint
y=-2+4cost

• Circle. Counterclockwise.
• Circle. Clockwise.
• Ellipse. Counterclockwise.
• Ellipse. Clockwise.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What curve do the parametric equations make? What is the direction of motion?
x=1+3cost
y=-2+3sint

• Circle. Counterclockwise.
• Circle. Clockwise.
• Ellipse. Counterclockwise.
• Ellipse. Clockwise.

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

Which point represents (3, 3π/4)?

• F
• E
• B
• A

Tags

CCSS.HSN.CN.B.4

Which equation represents the polar graph?

• r = sin θ
• r = sin 4θ
• r = 4 sin θ
• r = 4 cos θ

The parametric equation x = 3cos(t), y = 3sin(t) is a ..

• a circle
• an ellipse
• a hyperbolas
• parabola

Tags

CCSS.HSF-IF.C.7D