1 Graph 5x² + 9y² = 45. Classify its shape and include the graph.

2 Graph x² - y² = 36. Classify its shape and include the graph.

3 Namethe center and vertices of the ellipse5x² + 9y² = 45. Statethe vertical and horizontal axes and how you determined that.

4 Namethe center of(x-5)² + (y+2)² = 36 and how you determined that. Also, state its shape.

B What is the standard equation of the circle?

5 Circle with radius 5, and center (-5, -1)

C State all 4 vertices of the ellipse.

6 (x²)/25 + (y²)/9 = 1

D State the center of the conic.

7 hyperbola whose equation is [(x+2)² / 9] - [(y-2)² / 16] = 1

E How does the graph of each hyperbola open? Explain how you know.

8 (x²)/9 - (y²)/25 = 1

9 (y²)/4 - (x²)/9 = 1

F Classify each conic. Explain how you know just by looking at the equation.

10

>>>> x² + 2x + y² + 6y = 15

>>>> 9y² - 3 = 18y + 4x

>>>> y² = x² - 5x + 6