Ellipse and Hyperbola

Graph the ellipse:

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Standard Form of a Ellipse

• (x-h)² + (y-k)² = r²

• (x-h)²/a² + (y-k)²/b² = 1

• (x-h)²/a² - (y-k)²/b² = 1

• x = a(y-h)² + k

Write the standard form of the ellipse:

9x² + 4y² +72x +108=0

• (x-4)² /16 + y ²/ 36 = 1

• (x+4)² /4 + y ²/ 9 = 1

• (x-4)² /4 + y ²/ 9 = 1

• (x+4)² /16 + y ²/ 36 = 1

Write the standard form of the following equation:
x² - 4y² + 6x - 8y = 11

• A

• B

• C

• D

Write the standard form of the following equation:
9y² - 4x² + 36y + 32x - 64 = 0

• A

• B

• C

• D

Find the standard equation of the given ellipse

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Which type of conic section is this equation?

• circle

• ellipse

• hyperbola

• parabola

What are the vertices of the hyperbola?

• (0, 3) and (0, -3)

• (-4, 3) and (-4, -3)

• (0, 1) and (0, -1)

• (4, 0) and (-4, 0)

x²+5xy+8y²−10x+3y+10=0

What type of conic section is represented by this equation?

• Ellipse

• Circle

• Hyperbola

• Parabola

What are the vertices of the hyperbola?

• (0, 5) and (0, -5)

• (5, 0) and (-5, 0)

• (0, 25) and (-25, 0)

• (0, 0) and (0, 5)