Unit 9 Test: Conic Sections

What is the midpoint between the points at (12, 7) and (18, 19)?

• (30, 26)
• (15, 13)
• (–6, –12)
• (3, 6)

What is the distance between the points (4, 3) and (7, 7)?

• –5 units 
• 7 units 
• 25 units 
• 5 units

Write the equation of the parabola y = x² + 10x + 16 in standard form.

• y =  (x + 5)² – 9
• y = (x + 5)² + 16
• y = (x + 8)(x + 2)
• y = (x + 5)² + 41 

Which is the equation of a parabola that opens downward and has axis of symmetry   x = –1?

• y = (x – 1)² + 2
• y = (x + 1)² + 2
• y = –(x + 1)² + 2
• y = –(x – 1)² + 2

Find the center and radius of the circle with equation (x - 2)² + y²  = 9.

• (–2, 0); 9 
• (2, 0); 3 
• (0, 2); 9
• (0, –2); 3

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

Tags

CCSS.HSG.GPE.A.1

What are the major vertices of the ellipse in this picture?

• (2, 0), (–2, 0)
• (0, 2), (0, –2)
• (0, 4), (0, –4)
• (4, 0), (–4, 0)

Tags

CCSS.HSG.GPE.A.1

What are the asymptotes of the hyperbola in the picture?

• y = x and y = –x
• y = 2x and y = –2x
• y = ¹/₂x and y = –¹/₂x
• y = 2x and y = 4x

What is the graph of  x² + 4y² – 2y = 8?

• parabola
• hyperbola
• ellipse
• circle

Tags

CCSS.HSG.GPE.A.1

Find the exact solution(s) of the system of equations  x² +  y² = 16 and x = y + 4.

• (4, 0) and (0, –4)
• (0, 4) and (–4, 0)
• (4, 0) and (–4, 0) 
• (4, 0) and (0, 4)