HPC 8.2 Equations of Ellipses

HPC

Section 8.2

​Equations of Ellipses

Multiple Choice

$$\frac{x^2}{16}+\frac{y^2}{9}=1$$  

What is a = ?

• 16

• 9

• 4

• 3

Multiple Choice

$$\frac{\left(x-4\right)^2}{9}+\frac{\left(y+2\right)^2}{25}=1$$

What is b?

• 9
  

• 25
  

• 225
  

• 125
  

• 625
  

Multiple Choice

$$\frac{\left(x-4\right)^2}{9}+\frac{\left(y+2\right)^2}{25}=1$$

What is the length of the major axis?

• 3

• 9

• 5

• 10

• 50

​

Multiple Choice

$$\frac{\left(x-4\right)^2}{9}+\frac{\left(y+2\right)^2}{25}=1$$

To get this equation into general form you must foil the numerators and then multiply by?

• 9
  

• 25
  

• 225
  

• 125
  

• 625
  

Multiple Choice

$$\frac{x^2}{16}+\frac{y^2}{9}=1$$  

What is the length of the minor axis?

• 8

• 6

• 4

• 3

• 9

Multiple Choice

What is the center of the ellipse?

$$4x^2+9y^2=36$$  

• (0, 0)
  

• (4, 9)
  

• (-4, -9)
  

• (0, 36)
  

​

Multiple Choice

Write the equation of the ellipse

• $$\frac{x^2}{9}+\frac{y^2}{36}=1$$

• $$\frac{x^2}{36}+\frac{y^2}{9}=1$$

• $$\frac{x^2}{36}+\frac{y^2}{16}=1$$

• $$\frac{x^2}{16}+\frac{y^2}{36}=1$$

​

​

Multiple Choice

What is the length of the major axis?

• 6

• 12

• 8

• 16

Multiple Choice

What is the length of the minor axis?

• 6

• 12

• 3

• 9

Multiple Choice

Write the equation of the ellipse

• $$\frac{\left(x+3\right)^2}{9}+\frac{\left(y-2\right)^2}{36}=1$$

• $$\frac{\left(x+3\right)^2}{36}+\frac{\left(y-2\right)^2}{9}=1$$

• $$\frac{x^2}{36}+\frac{y^2}{16}=1$$

• $$\frac{\left(x-3\right)^2}{36}+\frac{\left(y+2\right)^2}{9}=1$$

​Homework

Google classroom Section 8.2

Honors Precalculus

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