Precalculus Chapter 9 - Conic Sections Name Review ...

Precalculus Chapter 9 - Conic Sections Name_____________________________________

Review “Circles, Parabolas, Ellipses, Hyperbolas” Date__________________Period______________

Learning Target: Students will be able to identify an equation as a circle, parabola, ellipse, or hyperbola.
Identify the following as a circle, parabola, ellipse, or hyperbola.

1. 9(x  2)2 16( y  2)2 144 A. circle B. parabola C. ellipse D. hyperbola
C. ellipse D. hyperbola
2. y  x2  4x A. circle B. parabola C. ellipse D. hyperbola
C. ellipse D. hyperbola
3. (x  4)2  ( y  4)2  36 A. circle B. parabola

4. 4(x  2)2  9( y  3)2  36 A. circle B. parabola

Learning Target: Students will be able to write the equation of a circle.
5. Find the equation of the circle.

(3,3) (7,3)

(5, 0)

Learning Target: Students will be able to graph and analyze a circle.
6. What is the equation of the circle graphed below?

7. Given the circle x2  y2 10x  4y  25  0, identify the center and radius.

Learning Target: Students will be able to graph and analyze vertical and horizontal parabolas.

Graph the parabolas. Identify the vertex, axis of symmetry, domain, and range of each.

8. y  5x2  20x  9 9. x  3y2  6y  2

Vertex: ____________________________ Vertex: ____________________________
Domain: ___________________________ Domain: ___________________________
Range: ____________________________ Range: ____________________________
Axis of symmetry: ___________________ Axis of symmetry: ___________________

Learning Target: Students will be able to graph and analyze an ellipse.
Directions: Sketch the graph of each of the following ellipses. Label your points.

10. (x  2)2  ( y 1)2  1 11. 25x2  4y2  100
25 9

Center: _____________ Vertices:_____________ Center: _____________ Vertices:_____________
Endpts: _____________ Domain:_____________ Endpts: _____________ Domain:_____________
Range:______________ Range:______________

Learning Target: Students will be able to graph and analyze a hyperbola.
Directions: Sketch the graph of each of the following hyperbolas. Label your points.

12. ( y  3)2  (x  2)2  1 13. x2  ( y  2)2  1
9 16 16 9

Center: _____________ Vertices:_____________ Center: _____________ Vertices:_____________
Domain: ____________ Range:______________ Domain: ____________ Range:______________

Learning Target: Students will be able to write equations of conic sections.

14. Write the equation for the ellipse whose center is at (0, 0), one vertex is at (0, 4), and the length of the
minor axis is 6.

15. Write the equation for the vertical hyperbola whose center is at (2, -4) and a = 3, b = 4.