Parabolas and Hyperbolas

A parabola is the set of all points equidistant from the focus and the directrix.

• true
• false

Tags

CCSS.HSG.GPE.A.2

The focus is always inside the parabola.

• true
• false

Tags

CCSS.HSG.GPE.A.2

The vertex, (h, k), is halfway between the focus and the directrix.

• true
• false

Tags

CCSS.HSG.GPE.A.2

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum
• Minimum

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.C.7

Determine the vertex of the parabola y=5(x-2)²–7

• (5, -7)
• (-2, -7)
• (2, -7)
• (-7, -2)

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

Write an equation of the parabola with the given characteristics:

Focus: (3, 5)

Vertex: (3, -1)

• 
  

  $y\ =\ \frac{1}{24}\left(x+3\right)^2+1$
  

• $y\ =\ \frac{1}{24}\left(x-3\right)^2-1$

• $y\ =\ -\frac{1}{24}\left(x+3\right)^2-1$

• $y\ =\ -\frac{1}{24}\left(x-3\right)^2-1$

Tags

CCSS.HSG.GPE.A.2

Write an equation of the parabola with the given characteristics:

Opens Up

Vertex: (-2, 4)

1/16 unit away from the directrix

• 
  

  $y\ =\ 4\left(x-2\right)^2-4$
  

• $y\ =4\left(x+2\right)^2-4$

• $y\ =4\left(x+2\right)^2+4$

• $y\ =4\left(x-2\right)^2+4$

Tags

CCSS.HSG.GPE.A.2

For the following parabola,
 $y=-\left(x+3\right)^2-1$  
what is the equation for the directrix?

• y = -3/4

• y = 3/4

• y = -4/3

• y = 4/3

• y = I didn't watch the videos

Tags

CCSS.HSG.GPE.A.2