Algebra II Fundamentals: QUIZ 2: CONICS

Identify this conic section. x 2 + y 2 = 25

circle

Identify this conic section. x 2 - 4 x + y 2 - 4 y + 4 = 12

circle

Identify this conic section. 9 x 2 + 4 y 2 = 36

ellipse

Identify this conic section. x 2 - y 2 = 16

hyperbola

Identify this conic section. xy = 25

hyperbola

Identify this conic section. 16 y = x 2

parabola

x=1/8y^2 The directrix of the parabola is

x = -2

Which of the following equations is of an ellipse with x-intercepts at (1, 0) and (-1, 0), y -intercepts at (0, 3) and (0, -3), and center at (0, 0)?

x^2/1+y^2/9=1

Which of the following is the equation of a hyperbola with center at (0, 0), with a = 4, b = 1, opening horizontally?

x^2/16-y^2/1=1

Which of the following is the equation of a parabola with focus (0, 2) and directrix y = -2?

y=1/8x^2

The equation of a circle whose center is at (1,2) and radius is 5 is

( x - 1)² + ( y - 2)² = 25

Find the major intercepts for the ellipse x^2/4+y^2/9=1

(0, ±3)

The center of the circle whose equation is ( x - 2) 2 + ( y + 4) 2 = 25 is

(2, -4)

x^2/9-y^2/4=1 The vertices of the hyperbola are

(±3, 0)

Find the distance between the points (-3, 2) and (4, -5).

7√2