Conic sections - Ellipse

Select the equation that represents the given ellipse:

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

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

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

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

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

Tags

CCSS.HSG.GPE.A.1

Select the equation that matches the given ellipse:

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

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

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

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

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

Tags

CCSS.HSG.GPE.A.1

Select the equation that matches the given ellipse:

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

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

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

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

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

Tags

CCSS.HSG.GPE.A.1

Select the equation that matches the given ellipse:

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

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

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

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

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

Tags

CCSS.HSG.GPE.A.1

The equation  $\frac{x^2}{b^2}+\frac{y^2}{a^2}=1$  represents:

• A vertical ellipse with a center at the origin.

• A horizontal ellipse with center at the origin.

• A circumference with center at the origin.

• A vertical ellipse with center at (h,k)

Tags

CCSS.HSG.GPE.A.1

 $\frac{x^2}{16}+\frac{y^2}{25}=1$ For the given ellipse the measurement for the parameter b, is:

• 4

• 5

• 16

• 25

Tags

CCSS.HSG.GPE.A.1

What are the coordinates for the vertex, and the foci?

• V(5,0), V´(-5,0), F(0,3) and F´(0,-3)

• V(5,0), V´(-5,0), F(4,0) and F´(-4,0)

• V(5,0), V´(-5,0), F(0,0) and F´(0,-3)

• V(5,0), V´(-5,0), F(-4,1.8) and F´(4,1.8)

Tags

CCSS.HSG.GPE.A.1

What are the coordinates of the center?

• C(-2,-4)

• C(-4,-2)

• C(2,4)

• C(4,2)

Tags

CCSS.HSG.GPE.A.1

From an equation, the distance among the center of the ellipse and a focus:

• Value of a

• Value of b

• Value of c

• Value of h

• Value of k

Tags

CCSS.HSG.GPE.A.1

 $\frac{\left(x-1\right)^2}{25}+\frac{\left(y+1\right)^2}{9}=1$  Select the ellipse that corresponds to the equation.

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Tags

CCSS.HSG.GPE.A.1