Conics: Circles and Ellipses

 What is the center of the ellipse $\frac{\left(x-1\right)^2}{1}+\frac{y^2}{25}=1$ ? 

•  $\left(0,\ 0\right)$  

•  $\left(1,\ 5\right)$  

•  $\left(1,\ 0\right)$  

•  $\left(0,\ 1\right)$  

Tags

CCSS.HSG.GPE.A.1

 Identify the center and the length of  $a$   and  $b$   of the ellipse $\frac{x^2}{25}+\frac{y^2}{4}=1$ . 

•  $C:\ \left(0,\ 4\right)\ a=25,\ b=4$  

•  $C:\ \left(0,\ 0\right)\ a=4,\ b=25$  

•  $C:\ \left(0,\ 5\right)\ a=2,\ b=5$  

•  $C:\ \left(0,\ 0\right)\ a=5,\ b=2$  

Tags

CCSS.HSG.GPE.A.1

 What are the foci of the ellipse  $\frac{\left(x+3\right)^2}{4}+\frac{\left(y-1\right)^2}{1}=1$ ?

•  $\left(-5,1\right)$ and $\left(-1,1\right)$ 

•  $\left(\pm\sqrt{3},0\right)$  

•  $\left(0,1\right)$ and $\left(-6,1\right)$  

•  $\left(\sqrt{3}-3,\ 1\right)$  and  $\left(-\sqrt{3}-3,\ 1\right)$  

Tags

CCSS.HSG.GPE.A.1

What is the center of the ellipse    $\frac{\left(x+3\right)^2}{4}+\frac{\left(y-1\right)^2}{1}=1$ ?

•  $\left(0,\ 0\right)$  

•  $\left(-3,\ 1\right)$  

•  $\left(1,\ -3\right)$  

•  $\left(3,\ -1\right)$  

Tags

CCSS.HSG.GPE.A.1

  What is the length of the major axis of the ellipse  $\frac{\left(x+4\right)^2}{4}+\frac{\left(y+3\right)^2}{9}=1$ ? 

• 3

• 6

• 4

• 2

Tags

CCSS.HSG.GPE.A.1

What equation would generate the ellipse on the grid?

• $\frac{\left(x-3\right)^2}{36}+\frac{\left(y-1\right)^2}{16}=1$
  

• $\frac{\left(x+3\right)^2}{16}+\frac{\left(y+1\right)^2}{36}=1$

• $\frac{\left(x-3\right)^2}{16}+\frac{\left(y-1\right)^2}{36}=1$
  

• $\frac{\left(x+3\right)^2}{36}+\frac{\left(y-1\right)^2}{16}=1$
  

Tags

CCSS.HSG.GPE.A.1

Which equation would generate the given circle?

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Tags

CCSS.HSG.GPE.A.1

 What type of orientation $\frac{\left(x-5\right)^2}{38}+\frac{\left(y-1\right)^2}{20}=1$  does this ellipse have?

• Oblique

• Horizontal

• Vertical

• Not enough information given to determine

Tags

CCSS.HSG.GPE.A.1

Which of the following equations would generate the ellipse pictured?

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Tags

CCSS.HSG.GPE.A.1

Find the standard equation of the given ellipse

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Tags

CCSS.HSG.GPE.A.1