Graphing Ellipses

Name the center of the ellipse and tell whether it is horizontal or vertical: $\frac{\left(x+4\right)^2}{25}+\frac{\left(y-1\right)^2}{9}=1$  

• Center: (4, -1), Horizontal

• Center: (-4, 1), Horizontal

• Center: (4, -1). Vertical

• Center: (-4, 1), Vertical

Tags

CCSS.HSG.GPE.A.1

Name the center of the ellipse and tell whether it is horizontal or vertical:
 $\frac{\left(x-1\right)^2}{1}+\frac{\left(y-7\right)^2}{50}=1$  

• Center: (-1, 7), Horizontal

• Center: (7, 1), Horizontal

• Center: (1, 7), Vertical

• Center: (-1, -7), Vertical

Tags

CCSS.HSG.GPE.A.1

Name the center of the ellipse and the a and b values:
 $\frac{x^2}{100}+\frac{\left(y+2\right)^2}{25}=1$  

• Center: (0, 2), a=100, b=25

• Center: (0, 2), a=10, b=5

• Center: (0, -2), a=10, b=5

• Center: (0, 2), a=100, b=25

Tags

CCSS.HSG.GPE.A.1

Name the center of the ellipse and the a and b values: $\frac{\left(x+4\right)^2}{16}+\frac{\left(y+2\right)^2}{9}=1$  

• Center: (4, -2), a=-16, b=-9

• Center: (4, 2), a=16, b=9

• Center: (-4, -2), a=3, b=4

• Center: (-4, -2), a=4, b=3

Tags

CCSS.HSG.GPE.A.1

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 major axis is...

• the x-axis
• the y-axis

Tags

CCSS.HSG.GPE.A.1

The line containing the center and foci.

• Major Axis
• Minor Axis
• Vertices
• Co-Vertices

Which equation shows one of the standard forms of an ellipse?

• $y=ax^2+bx+c$

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

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

• $y=mx+b$

Tags

CCSS.HSG.GPE.A.1

What is the equation for the ellipse:

• $\frac{\left(x-3\right)^2}{25}+\frac{\left(y-2\right)^2}{4}=1$

• $\frac{\left(x-3\right)^2}{4}+\frac{\left(y-2\right)^2}{25}=1$

• $\frac{\left(x+3\right)^2}{25}+\frac{\left(y+2\right)^2}{4}=1$

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

Tags

CCSS.HSG.GPE.A.1