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Chapter 14 Quiz

Last updated over 3 years ago
13 questions
3
Identify the center and radius of the circle given:
(x+5)^{2}+(y-7)^{2}=80

Center: (_______ ,_______ )
Radius: _______ Can be writted as a decimal number to two decimal places
3
For the equation of the ellipse, figure out the following: Horizontal/Vertical, Center, Vertices, Co-Vertices, Foci.

\frac{(x+3)^{2}}{45}+\frac{(y-1)^{2}}{81}=1

Orientation: _______ (enter horizontal or vertical)
Center: (_______ ,_______ )
Vertices: (_______ ,_______ ) and (_______ ,_______ ) order does not matter
Co-Vertices: (_______ ,_______ ) and (_______ ,_______ ) order does not matter
Foci: (_______ ,_______ ) and (_______ ,_______ ) order does not matter
Identify the:
  • Vertex
  • Focus
  • Axis of Symmetry
  • Directrix
Then Sketch the graph. Make sure you label all the important points that you solved for above.

-\frac{1}{3}(x-3)=(y+5)^2
3
Vertex: (_______ ,_______ )
3
Focus: (_______ ,_______ )
3
Axis of Symmetry:
y=_______
3
Directrix:
x=_______
3

Sketch the graph

Identify the:
  • Vertices
  • Foci
  • Asymptotes
Then Sketch the graph. Make sure to label all important points that you solved for above

\frac{y^{2}}{10}-\frac{(x-1)^{2}}{10}=1
3
Vertices (order does not matter)
Vertice 1: (_______ ,_______ )
Vertice 2: (_______ ,_______ )

If the answer contains a square root DO NOT turn into a decimal
3
Foci(order does not matter)
Foci 1: (_______ ,_______ )
Foci 2: (_______ ,_______ )

If the answer contains a square root DO NOT turn into a decimal
3
Asymptotes (order does not matter)
y=_______
y=_______
3

Sketch the graph

3

What type of conic is represented below?

x^{2}-y^{2}-4x-6y-9=0

4

Convert the Conic below into its standard form by completing the square
x^{2}-y^{2}-4x-6y-9=0