Ellipse

Which is a horizontal ellipse?

• $\frac{x^2}{4}+\frac{y^2}{9}=1$

• $\frac{x^2}{16}+\frac{y^2}{9}=1$

• $\frac{x^2}{16}+\frac{y^2}{16}=1$

• $x^2+\frac{y^2}{49}=1$

What are the vertices of

 $\frac{x^2}{16}+\frac{y^2}{25}=1?$  

•  $\left(-4,\ 0\right)\ and\ \left(4,\ 0\right)$  

•  $\left(0,\ -4\right)\ and\ \left(0,\ 4\right)$  

•  $\left(-5,\ 0\right)\ and\ \left(5,\ 0\right)$  

•  $\left(0,\ -5\right)\ and\ \left(0,\ 5\right)$  

How long is the major axis of the given ellipse? Format for answer:  k    where k is a number.     Note: There should be no spaces and no units.

 $\frac{x^2}{64}+\frac{\left(y+2\right)^2}{49}=1$  

Check all the boxes that describe the ellipse

 $\frac{x^2}{4}+\frac{y^2}{81}=1$  

• The center is  $\left(0,0\right).$  

• The major axis is 81.

• The minor axis is 4.

• The graph is a horizontal ellipse.

What is the equation of the given graph?

• $\frac{x^2}{7}+\frac{y^2}{6}=1$

• $\frac{x^2}{14}+\frac{y^2}{12}=1$

• $\frac{x^2}{49}+\frac{y^2}{36}=1$

• $\frac{x^2}{36}+\frac{y^2}{49}=1$

How far is a focus from the center of the given ellipse? Format for answer: k where k is a number. Note: There should be no spaces and no units.

How long is the minor axis of the given ellipse? Format for answer:  k    where k is a number.     Note: There should be no spaces and no units.

 $\frac{x^2}{9}+y^2=1$  

What are the co-vertices of the given ellipse?

• $\left(5,\ -4\right)\ and\ \left(5,\ 2\right)$

• $\left(-4,\ 5\right)\ and\ \left(2,\ 5\right)$

• $\left(-1,\ -2\right)\ and\ \left(-1,\ 12\right)$

• $\left(0,\ 0\right)\ and\ \left(2,\ 5\right)$

What is the equation of a vertical ellipse whose center is (0, 0), length of the major axis is 12 and length of the minor axis is 10?

•  $\frac{x^2}{36}+\frac{y^2}{25}=1$  

•  $\frac{x^2}{25}+\frac{y^2}{36}=1$  

•  $\frac{x^2}{144}+\frac{y^2}{100}=1$  

•  $\frac{x^2}{100}+\frac{y^2}{144}=1$  

An ellipse is a set of points in which the _____ of the distances from the two foci is constant.