Parabola 202313

Parabola

Given a Focus (1, -1) and Vertex (1,2)

Answer the following Questions

Multiple Choice

Given a Focus (1, -1) and Vertex (1,2), what is the axis of symmetry of the parabola?

• Vertical

• Horizontal

Multiple Choice

Given a Focus (1, -1) and Vertex (1,2), which way would the parabola open?

• left

• right

• up

• down

Fill in the Blank

Given a Focus (1, -1) and Vertex (1,2), what is the value of p?

Multiple Choice

Given a Focus (1, -1) and Vertex (1,2), what would the equation of the directrix be?

• y=5

• x=5

• y=4

• y=-4

Multiple Choice

Given a Focus (1, -1) and Vertex (1,2), what would the equation of the parabola be?

• (y-2)² = -12(x-1)

• (y-2)² = 12(x-1)

• (x-1)² = -12(y-2)

• (x-1)² = -3(y-2)

Given this directrix x=-2 and vertex (1,2)

Answer the following Questions

Multiple Choice

Given this directrix x=-2 and vertex (1,2), what is the axis of symmetry of the parabola?

• Vertical

• Horizontal

Multiple Choice

Given this directrix x=-2 and vertex (1,2), which way would the parabola open?

• left

• right

• up

• down

Fill in the Blank

Given this directrix x=-2 and vertex (1,2), what is the value of p?

Multiple Choice

Given this directrix x=-2 and vertex (1,2), what would the coordinate of the focus be?

• (-.5, 2)

• (4, 2)

• (5, 2)

• can not be determined

Multiple Choice

Given this directrix x=-2 and vertex (1,2), what would the equation of the parabola be?

• (y-2)² = 12(x-1)

• (y-2)² = 6(x-1)

• (x-1)² = 12(y-2)

• (x-1)² = 6(y-2)

Given the focus (-3,6) and directrix y=2

Answer the following Questions

Multiple Choice

Given the focus (-3,6) and directrix y=2, what is the axis of symmetry of the parabola?

• Vertical

• Horizontal

Multiple Choice

Given the focus (-3,6) and directrix y=2, which way would the parabola open?

• left

• right

• up

• down

Fill in the Blank

Given the focus (-3,6) and directrix y=2, what is the value of p?

Multiple Choice

Given the focus (-3,6) and directrix y=2, what would the coordinate of the vertex be?

• (-3, 10)

• (-3, 4)

• (3, 4)

• can not be determined

Multiple Choice

Given the focus (-3,6) and directrix y=2, what would the equation of the parabola be?

• (y-2)² = 12(x-1)

• (y-4)² = 8(x+3)

• (x+3)² = 8(y-4)

• (x-3)² = 8(y+4)

Given the standard form of the equation 

(y-4)² = 8(x+3)

Answer the following Questions

Multiple Choice

Given the standard form of the equation

(y-4)² = 8(x+3)

Find the vertex of the parabola

• (3,-4)

• (4,-3)

• (-3,4)

• (-4,3)

Fill in the Blank

Given the standard form of the equation

(y-4)² = 8(x+3)

Find the focal distance p

Multiple Choice

Given the standard form of the equation

(y-4)² = 8(x+3)

Find the focus of the parabola

• (-1,4)

• (5,4)

• (6,-3)

• (6,3)

Multiple Choice

Given the standard form of the equation

(y-4)² = 8(x+3)

Find the directrix of the parabola

• x=-5

• x=5

• y=-5

• y=5

Given the standard form of the equation 

(y - 4)² = -8(x+1)

Answer the following Questions

Multiple Choice

What is the coordinate of the vertex?  
 (y - 4)² = -8(x+1)  

• (1,4)
• (-1,-4)
• (1,-4)
• (-1,4)

Multiple Choice

What is the value of p?

(y - 4)² = -8(x+1)

• -8

• -2

• 4

• -32

Multiple Choice

Which way does the parabola open?              

(y - 4)² = -8(x+1)

• up 
• down
• left
• right

Multiple Choice

What is the equation of the directrix?             

(y - 4)² = -8(x+1) 

• x = -3 
• x = 1
• y = 6
• y = 2

Multiple Choice

What is the coordinate of the focus?  
 (y - 4)² = -8(x+1)  

• (1,6)
• (-1, 4)
• (-3,4)
• (6, 1)

Given the standard form of the equation 

(y-4)² = 5(x+3)

Answer the following Questions

Multiple Choice

Given the standard form of the equation

(y-4)² = 5(x+3)

Find the vertex of the parabola

• (3,-4)

• (4,-3)

• (-3,4)

• (-4,3)

Multiple Choice

Given the standard form of the equation

(y-4)² = 5(x+3)

Find the focal distance p

• p=5

• p=5/4

• p=4/5

• p=4

Multiple Choice

Given the standard form of the equation

(y-4)² = 5(x+3)

Find the focus of the parabola

• (-7/4,4)

• (-1,4)

• (-7/4,-3)

• (6,3)

Multiple Choice

Given the standard form of the equation

(y-4)² = 5(x+3)

Find the directrix of the parabola

• x=-17/4

• x=-17

• x=-9

• x=-12