GRAPHING A PARABOLA (CONICS)

What is the standard equation of the parabola with vertex

 $\left(-8,2\right)\ and\ directrix\ x=-10.5?$  

•  $\left(y-2\right)^2=10\left(x+8\right)$  

•  $\left(y-2\right)^2=-10\left(x+8\right)$  

•  $\left(y-8\right)^2=10\left(x+2\right)$  

•  $\left(y-8\right)^2=-10\left(x+2\right)$  

What is the standard equation of the parabola with vertex  $\left(11,7\right)\ and\ directrix\ \ y\ =4?$  

•  $\left(x-11\right)^2=12\left(y-7\right)$  

•  $\left(y-11\right)^2=12\left(x-7\right)$  

•  $\left(x-7\right)^2=12\left(y-11\right)$  

•  $\left(y-7\right)^2=12\left(x-11\right)$  

What is the standard equation of the parabola with vertex
 

 $\left(2,-4\right)\ and\ focus\ \left(-1,-4\right)?$  

•  $\left(y+4\right)^2=-12\left(x-2\right)$  

•  $\left(y+4\right)^2=12\left(x-2\right)$  

•  $\left(x-2\right)^2=12\left(y+4\right)$  

•  $\left(x-2\right)^2=-12\left(y+4\right)$  

What is the standard equation of the parabola with vertex  $\left(1,-9\right)\ and\ focus\ \left(-3,-9\right)?$  
 

•  $\left(y+9\right)^2=-16\left(x-1\right)$  

•  $\left(y+9\right)^2=16\left(x-1\right)$  

•  $\left(x-1\right)^2=-16\left(y+9\right)$  

•  $\left(x-1\right)^2=16\left(y+9\right)$  

What is the standard equation of the parabola with vertex  $focus\left(11,7\right)\ and\ directrix\ x=1?$  
 

•  $\left(y-7\right)^2=20\left(x-6\right)$  

•  $\left(y-7\right)^2=-20\left(x-6\right)$  

•  $\left(x-6\right)^2=20\left(y-11\right)$  

•  $\left(x-6\right)^2=-20\left(y-11\right)$  

What is the standard equation of the parabola with vertex  $focus\left(11,7\right)\ and\ directrix\ y=4?$  
 

•  $\left(y-5.5\right)^2=-6\left(x-11\right)$  

•  $\left(y-5.5\right)^2=6\left(x-11\right)$  

•  $\left(x-11\right)^2=-6\left(y-5.5\right)$  

•  $\left(x-11\right)^2=6\left(y-5.5\right)$  

Based on the graph, what is the standard equation of the parabola?

• $\left(y+4\right)^2=12\left(x-2\right)$

• $\left(y+4\right)^2=-12\left(x-2\right)$

• $\left(x-2\right)^2=12\left(y+4\right)$

• $\left(x-2\right)^2=-12\left(y+4\right)$

What is the vertex of the parabola  $y^2-12x+8y=-40?$  

•  $\left(2,-4\right)$  

•  $\left(-2,4\right)$  

•  $\left(4,-2\right)$  

•  $\left(-4,2\right)$  

How can you tell if a parabola opens to the left/right simply by looking at the equation?

• All parabolas open upwards.

• All parabolas open downwards.

• The sign of "4a" tells you the direction of the opening.

• It is impossible to determine simply by looking at the equation.

What is the standard equation of the parabola with vertex  $\left(1,-9\right)\ and\ focus\ \left(-3,-9\right)?$  
 

•  $\left(y+9\right)^2=-16\left(x-1\right)$  

•  $\left(y+9\right)^2=16\left(x-1\right)$  

•  $\left(x-1\right)^2=-16\left(y+9\right)$  

•  $\left(x-1\right)^2=16\left(y+9\right)$