Name: ______________________________
Pre-Calculus Honors
Select Chapter 7 Review Exercises
* (This does not include sections 7.1-7.3 – Make sure you look over your notes,
classwork/homework, reviews, & quizzes from this Chapter) *
1. Find the discriminant, and use it to classify the conic section.
a) 109𝑥 2 − 70√3𝑥𝑦 + 39𝑦 2 − 144 = 0
b) 𝑥 2 + 2√3𝑥𝑦 − 𝑦 2 − 18 = 0
2. Write the parametric equations in rectangular form. State any restrictions on the domain.
3𝑡
𝑥 = √6𝑡 and 𝑦 = − 2
3. Write in rectangular form. Then graph.
𝑥 = −2 cos 𝜃 and 𝑦 = sin 𝜃
4. Write the parametric equations in rectangular form. State any restrictions on the domain.
THEN, sketch a graph using a table of values.
𝑥 = 1 + √𝑡 and 𝑦 = 𝑡 2 − 4𝑡