
Exploring Parametric Equations: Beginnings Part 2

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Mia Campbell
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of the circle derived from the parametric equations x = 2 cos(θ) and y = 2 sin(θ)?
2
1
4
3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which trigonometric identity is used to eliminate the parameter in the equations x = 2 cos(θ) and y = 2 sin(θ)?
sin(2θ) = 2 sin(θ) cos(θ)
1 / cos(θ) = sec(θ)
sin(θ) / cos(θ) = tan(θ)
sin^2(θ) + cos^2(θ) = 1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the standard form equation derived from x = 2 cos(θ) and y = 2 sin(θ)?
x^2 + y^2 = 2
x^2 - y^2 = 2
x^2 - y^2 = 4
x^2 + y^2 = 4
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the equation x^2 + y^2 = 4 represent?
An ellipse
A parabola
A hyperbola
A circle
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you solve for 't' from the equation x = 3/2 t?
t = 3/2x
t = x/3
t = 3x/2
t = 2x/3
Tags
CCSS.HSA.CED.A.4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the resulting equation for y when substituting t = 2/3 x into y = 4 - 3/4 t^2?
y = 4 - 1/3 x^2
y = 4 + 3/2 x^2
y = 4 + 1/3 x^2
y = 4 - 3/2 x^2
Tags
CCSS.HSA.REI.B.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplest form of parametric equations for y = 6x^2 - 1?
x = t, y = 6t^2 - 1
x = t^2, y = 6t - 1
x = t, y = 6t - 1
x = t^2, y = 6t^2 - 1
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