Quiz-Review

Quiz-Review

Lesson 2: Circle

Lesson 3: Parabola

Lesson 4: Ellipse

Poll

Are you ready?

Open Ended

In one word, describe what you feel today.

Lesson 2: Circle

Multiple Select

Determine the center and radius given the equation

 $(x+3)²+(y-4)=25$ choose two answers.

• center: (-3,4)

• center: (3,-4)

• center: (-3,4)

• radius: 5

• radius: 25

Multiple Choice

Transform  $(x+6)²+(y+2)²=4$ to its general form.

•  $x²+y²+12x+4y+44=0$ 

•  $x²+y²-12x-4y+44=0$  

•  $x²+y²-12x-4y+36=0$  

•  $x²+y²+12x+4y+36=0$  

Multiple Choice

Determine the equation in standard form of a circle with center at the origin and radius is equal to 4 units.

• $x²+y²=4²$

• $x²+y²=2²$

• $x²+y²=16²$

• $x²+y²=8²$

Lesson 3: Parabola

Multiple Choice

What is the orientation of

 $\left(y-3\right)^2=4\left(x-2\right)$  ?

• upward

• opens to the left

• opens to the right

• downward

Multiple Choice

What is the orientation of  $\left(x-3\right)^2=-4\left(y-2\right)$  ?

• downward

• upward

• opens to the right

• opens to the left

Multiple Choice

What is the orientation of   $x^2-2x+3y+11=0$ ?

• opens to the left

• opens to the right

• upward

• downward

Multiple Choice

What is the orientation of

 $y^2+2x-3y+11=0$  ?

• opens to the left

• downward

• upward

• opens to the right

Multiple Select

Determine the correct properties of the parabola given the equation  $(y+2)²=12(x-7)$ 

choose two answers.

• V(7,-2)

• V(7,-2)

• V(-2,7)

• opens to the right

•  opens to the left

Multiple Choice

Determine the equation in standard form of a parabola with vertex at (8,-3), length of latus rectum is equal to 8 units and opens downward.

• $(x-8)²=8(y+3)$

• $(y-8)²=-8(x+3)$

• $(x-8)²=-8(y+3)$

• $(y-8)²=8(x+3)$

Multiple Choice

Determine the standard equation of the parabola given its different properties: focus at (2,-3) and the directrix is the equation x= -4

• $(y-3)²=12(x-1)$

• $(y-3)²=12(x+1)$

• $(y+3)²=12(x-1)$

• $(y+3)²=12(x+1)$

Lesson 4: Ellipse

Multiple Choice

In an ellipse, the length of c is always larger than a.

• TRUE

• FALSE

Multiple Choice

The orientation of  $x^2+4y^2+4x-8y+16=0$  is horizontal.

• TRUE

• FALSE

Multiple Choice

The orientation of  $\frac{\left(x+2\right)^2}{9}+\frac{\left(y-2\right)^2}{25}=1$  is vertical.

• TRUE

• FALSE

Multiple Select

Determine the correct properties of ellipse given the equation  $\frac{\left(x-4\right)^2}{16}+\frac{\left(y-3\right)^2}{4}=1$  choose two answers.

•  $C(4,3)$  

•  $C(3,4)$  

•  $a=4$  

•  $a=2$  

Multiple Select

Determine the correct properties of  $\frac{\left(x-4\right)^2}{16}+\frac{\left(y-3\right)^2}{4}=1$  choose two answers. 

• $V\left(8,3\right)\left(0,3\right)$

• $V\left(3,8\right)\left(3,0\right)$

• $CV\left(4,5\right)\left(4,1\right)$

• $CV\left(5,4\right)\left(1,4\right)$

Multiple Select

Determine the correct properties of  $\frac{\left(x-4\right)^2}{16}+\frac{\left(y-3\right)^2}{4}=1$  choose two answers.

•  $F\left(7.5,\ 3\right)\left(0.5,\ 3\right)$ 

•  $D:\ y=7.6,\ y=-1.6$ 

•  $F\left(3,\ 7.5\right)\left(3,\ 0.5\right)$ 

•  $D:\ x=7.6,\ x=-1.6$ 

Fill in the Blanks

What is the length of latus rectum in this equation  $\frac{\left(x-4\right)^2}{16}+\frac{\left(y-3\right)^2}{4}=1$  ?

Multiple Choice

Transform  $\frac{\left(x-3\right)^2}{9}+\frac{\left(y+5\right)^2}{27}=1$  into its standard form.

•  $x^2+3y^2-18x+10y+25=0$  

•  $3x^2+y^2+18x-10y+25=0$  

•  $3x^2+y^2-18x+10y+25=0$  

•  $x^2+3y^2+18x-10y+25=0$