Diagnostic Exam Conics Precalculus

Identify this conic section

• Circle

• Degenerate Conic Section

• Parabola

• Hyperbola

• a

• b

• c

• d

Find the equation of the figure shown.

• (x-1)²/16 - (y+2)²/4 = 1

• (x+1)²/16 - (y-2)²/4 = 1

• (y+2)²/4 - (x-1)²/16 = 1

• (x-1)²/4 - (y+2)²/2 = 1

Which is the equation of a circle with center (2, 1) that passes through (2, 4)?

• (x – 2)² + (y – 1)² = 9

• (x – 2)² + (y – 1)² = 3

• (x + 2)² + (y + 1)² = 9

• (x + 2)² + (y + 1)² = 3

What is the radius of (x + 2)² +(y - 5)² = 5

• 5

• 25

• √5

• (-2,5)

• (x - 3)²  + (y + 4)² = 9
• (x - 3)²  + (y + 4)² = 3
• (x)²  + (y)² = 9
• (x - 1)²  + (y + 1)² = 7

Identify the center and the length of a and b.

• C: (0,0)  a= 25, b=4

• C: (0,0)  a= 4, b=25

• C: (0,0)  a= 2, b=5

• C: (0,0)  a= 5, b=2

In the equation
(x+2)²+(y+3)²=49, what is the center of the circle?

• (2, 3)

• (3, 2)

• (-3, -2)

• (-2, -3)

What is the center of the ellipse?

• (0, 0)

• (1, 5)

• (1, 0)

• (0, 1)

Identify the conic:
4x² – 5y² + 2x – 8y + 10 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola