PRE CALCULUS Conic Sections and Parametric Equations

Question 1

What is the standard form of a circle with center (h, k) and radius r?

Accepted Answer

(x−h)² + (y−k)² = r²

Answer

(x+h)² + (y+k)² = r

Answer

x² + y² = r

Answer

(x−h)/(y−k) = r²

Question 2

Which conic section is formed when the cutting plane is parallel to the base of a double cone?

Accepted Answer

Circle

Answer

Parabola

Answer

Ellipse

Answer

Hyperbola

Question 3

The focus of the parabola y = x² is located at:

Accepted Answer

(0, 1/4)

Answer

(0, 1)

Answer

(1/4, 0)

Answer

(0, −1/4)

Question 4

What distinguishes an ellipse from a hyperbola in standard form?

Accepted Answer

Ellipse uses + between terms; hyperbola uses −

Answer

Ellipse uses − between terms; hyperbola uses +

Answer

Both use + between terms

Answer

The denominators are equal in a hyperbola

Question 5

In the ellipse x²/25 + y²/9 = 1, what is the length of the major axis?

Accepted Answer

10

Answer

5

Answer

9

Answer

6

Question 6

A parametric equation describes:

Accepted Answer

Both x and y as functions of a third variable t

Answer

y as a function of x directly

Answer

Only circular motion

Answer

A 3D surface