AP Precalculus Practice Test UNIT 4

Question 1

Which of the following represents the parametric equation for the graph shown below?

x = t 2 − 2, y = 3t [−7 4] y = x 2 Rotates counterclockwise through Π/2 radians and doubles the length

Correct Answer:

x = t 2 − 2, y = 3t

Explanation:

Correct answer: x = t 2 − 2, y = 3t

Question 2

Which of the following represents the parameterization of the line through the points (−2, 5) and (4, 2)?

20 x = −2 + 6t, y = 5 − 3t x = t 2 − 2, y = 3t ⟨10, −24⟩

Correct Answer:

x = −2 + 6t, y = 5 − 3t

Explanation:

Correct answer: x = −2 + 6t, y = 5 − 3t

Question 3

Find the rectangular equation for the curve given by the parametric equations x = sin t, y = 1 − cos 2 t, 0 ≤ t ≤ π

x = 3 + 4 cos t, y = −2 + 7 sin t 13 y = x 2 Rotates counterclockwise through Π/2 radians and doubles the length

Correct Answer:

y = x 2

Explanation:

Correct answer: y = x 2

Question 4

Find the rectangular equation for the curve given by the parametric equations x = t − 1, y = t2 − 1, − 2 ≤ t ≤ 4.

y = x 2 + 2x y = x 2 T(x, y, z) = (1, 1) 20

Correct Answer:

y = x 2 + 2x

Explanation:

Correct answer: y = x 2 + 2x

Question 5

Which of the following choices are pairs of parametric equations for the \frac{(x + 3)^{5}} {25} - \frac{(y - 1)^{2}} {9} = 1 ?

x = 3 + 4 cos t, y = −2 + 7 sin t x = −2 + 6t, y = 5 − 3t 20 x = t 2 − 2, y = 3t

Correct Answer:

x = 3 + 4 cos t, y = −2 + 7 sin t

Explanation:

Correct answer: x = 3 + 4 cos t, y = −2 + 7 sin t

Question 1

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About this Exam

Prepare with the AP Precalculus Practice Test UNIT 4 practice quiz. This question bank includes 17 questions covering chance, particle, find, parametric, and vector. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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AP Precalculus Practice Test UNIT 4

This practice set contains 17 questions from the matching question bank and focuses on chance, particle, find, parametric, and vector. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

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AP Precalculus Practice Test UNIT 4

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