Conic Parabolas (10.1)

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If the directrix is y = 4 and the focus is at 
(3, 0), the value of p is:

• 8
• -8
• 2
• -2

Tags

CCSS.HSF-IF.C.7A

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

Which characteristic is NOT true of the parabola formed by the equation y = 2(x-4)(x+3)

• root of 4
• root of -3
• opens up
• vertex at (4,3)

Tags

CCSS.HSF-IF.C.7A

What is the domain and range of the given parabola:
 y=6(x-4)²-1?

• Domain: all real numbers
  Range: y≥-1
• Domain: x≥-1
  Range: all real numbers
• Domain: all real numbers
  Range: y ≤-1
• Domain: x≤-1
  Range: all real numbers

Tags

CCSS.HSG.SRT.C.8

What is the point inside the parabola 'p' units from the vertex?

• vertex
• focus
• directrix
• axis of symmetry

Tags

CCSS.HSG.GPE.A.2

Find the vertex, focus, and directrix of the parabola: x² = 28y

• Vertex: (0, 0) Focus: (0,7) Directrix: y=-7
• Vertex: (0, 0) Focus: (7,0) Directrix: y=7
• Vertex: (0, 0) Focus: (0,-7) Directrix: x=-7
• Vertex: (0, 0) Focus: (7, 0) Directrix: x=7

Tags

CCSS.HSG.GPE.A.2

The focus is at (2,0) and the vertex is at (-4,0).  What is the equation of the parabola?

• y² = 24(x+4)
• (y+4)² = -12x
• x² = 16(y+4)
• (x+4)²  = -20y

Tags

CCSS.HSG.GPE.A.2

(y-4)² = -8(x+1)
What are the coordinates for the focus?

• (1,4)
• (-1,6)
• (-1,2)
• (-1,4)

Tags

CCSS.HSG.GPE.A.2

What is the equation of this parabola?

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

Tags

CCSS.HSG.GPE.A.2