HPC 8.2 Equations of Ellipses Part 2

HPC

Section 8.2

​Equations of Ellipses

Day 2

Multiple Choice

$$\frac{x^2}{16}+\frac{y^2}{9}=1$$  

What is a = ?

• 16

• 9

• 4

• 3

Multiple Choice

$$\frac{x^2}{16}+\frac{y^2}{9}=1$$  

What is b = ?

• 16

• 9

• 4

• 3

Multiple Choice

$$\frac{x^2}{16}+\frac{y^2}{9}=1$$  

What is c = ?

• 25

• 5

• $$\sqrt[]{7}$$

• 7

Multiple Choice

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

Which axis is the major axis?

• x

• y

• c
  

• z
  

Multiple Choice

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

What is the length of the major axis?

• 36

• 72

• 12

• 6

• 18

Multiple Choice

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

What is c?

• $$3\sqrt[]{3}$$

• $$6\sqrt[]{3}$$

• 6

• $$3\sqrt[]{5}$$

• 18

Multiple Choice

$$\frac{\left(x-4\right)^2}{16}+\frac{\left(y+2\right)^2}{36}=1$$

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

• 36

• 144

• 12

• 4

• 576

Draw

$$9x^2+16y^2-18x+64y-71=0$$  

Rewrite the equation in standard form.

Fill in the Blank

What is the center of the ellipse?

$$4x^2+9y^2-56x+72y\ +304=0$$  

(

-

,

)

Multiple Choice

Write the equation of the ellipse in standard form.

• $$\frac{x^2}{9}+\frac{y^2}{36}=1$$

• $$\frac{x^2}{36}+\frac{y^2}{9}=1$$

• $$\frac{x^2}{36}+\frac{y^2}{16}=1$$

• $$\frac{x^2}{16}+\frac{y^2}{36}=1$$

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

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

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

• $$\frac{x^2}{36}+\frac{y^2}{16}=1$$

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

Draw

Graph the circle and include the foci?

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

​Homework

Google classroom Section 8.2

Honors Precalculus

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