Ellipses

The major axis is:

• The shorter axis of an ellipse
• The longer axis of an ellipse
• The closest point closest to the Sun
• The farthest point closest to the Sun

What are the vertices of the ellipse?

• (0, 0)
• (7, 1) and (-1, 1)
• (3, -5) and (3, 7)
• (3, 1)

Tags

CCSS.HSG.GPE.A.1

The graph of an ellipse is shown. The ellipse has a (a)   major axis

If the direction of the minor axis is vertical , it means that?

• below x-term is a²

• below y-term is a²

• below x-term is b²

• none of the choices

What are the co-vertices of the ellipse? (HINT: Look at the MINOR axis)

• (0, 0)

• (7, 1) and (-1, 1)

• (3, -5) and (3, 7)

• (3, 1)

Tags

CCSS.HSG.GPE.A.1

The longer axis of the ellipse is called the (a)   axis.

The endpoints of the minor axis are called (a)   .

The standard form of an ellipse is:

• $\left(x-h\right)^2+\left(y-k\right)^2=r^2$

• $\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)^2}{b^2}=1$

• $\frac{\left(x-h\right)^2}{a^2}-\frac{\left(y-k\right)^2}{b^2}=1$

• $x=a\left(y-h\right)^2+k$

The equation $\left(x+2\right)^{2\ }=36\left(y-3\right)$  represents a 

• Parabola

• Ellipse

• Circle

• None of the above

Which of the below represent an ellipse with a horizontal major axis? Choose all that apply. 

•  $\frac{\left(x+1\right)^2}{121}+\frac{\left(y-3\right)^2}{144}=1$  

•  $\frac{\left(x-5\right)^2}{100}+\frac{\left(x-3\right)^2}{49}=1$  

•  $\frac{x^2}{25}+\frac{y^2}{16}=1$  

•  $\frac{\left(x-12\right)^2}{20}+\frac{\left(y-1\right)^2}{19}=1$  

•  $\frac{\left(x+3\right)^2}{100}-\frac{\left(x-5\right)^2}{9}=1$