Conics - Parabolas

The focus is always inside the parabola.

• true
• false

Tags

CCSS.HSG.GPE.A.2

All parabolas with a vertical directrix open the left or right.

• true
• false

Tags

CCSS.HSG.GPE.A.2

True or False?
When the x-part is squared, the parabola opens up or down.

• True
• False

Tags

CCSS.HSF-IF.C.7A

What are the coordinates for the focus? $x+1=-\frac{1}{8}\left(y-4\right)^2$  

•  $\left(1,4\right)$  

•  $\left(-1,6\right)$  

•  $\left(-1,2\right)$  

•  $\left(-3,4\right)$  

What is the equation of the directrix? $x+5=\frac{1}{4}\left(y+3\right)^2$  

•  $y=4$  

•  $x=2$  

•  $y=-4$  

•  $x=-6$  

Which direction does this parabola open?
 $x-2=-\frac{1}{4}\left(y+1\right)^2$  

• Up

• Down

• Left

• Right

Which equation below represents a parabola that opens upward with a vertex at $\left(0,-5\right)$ ?

•  $y-5=x^2$  

•  $y+5=x^2$  

•  $y=\left(x-5\right)^2$  

•  $y=\left(x+5\right)^2$  

What is the green dashed line called?

• directrix

• parabola

• axis of symmetry

• asymptote

What is the axis of symmetry for a parabola that opens right with a vertex at $\left(-3,2\right)$  .

• $y=-2$

• $x=3$

• $x=-3$

• $y=2$

What is the equation of the directrix? $y+5=\frac{1}{4}\left(x+3\right)^2$  

•  $x=4$  

•  $x=2$  

•  $y=-4$  

•  $y=-6$