RISE 310 - Pre Calculus

6x² + 6y² – 3x + 4y = 0

• Circle
• Parabola
• Hyperbola
• Ellipse

36x² – 5y² + 8x + 2y + 12 = 0

• Hyperbola
• Parabola
• Ellipse
• Circle

x + 3 = (y  - 1)²

• Parabola Opens Up
• Parabola Opens Down
• Parabola Opens Right
• Parabola Opens Left

Given the following equation,
x²+5xy+8y²−10x+3y+10=0
What type of conic section is this?

• Ellipse
• Circle
• Hyperbola
• Parabola

Which is the center of the circle with the equation

(x - 3)² + (y + 5)² = 16

• (3, 5)

• (-3, 5)

• (5, -3)

• (3, -5)

Find the equation of the figure shown.

• (x-5)² + (y-3)² = 25
• (x+5)²/4 + (y+3)²/9 = 1
• (x-5)²/2 + (y-3)²/3 = 1
• (x-5)²/4 + (y-3)²/9 = 1

Write the equation of the circle with a radius of 3 and a center of (4, 2). 

• ( x - 4)² + (y - 2)² = 3
• ( x - 2)² + (y - 2)² = 3²
• ( x - 4)² + (y - 2)² = 3²
• ( x + 4)² + (y + 2)² = 3²

What are the foci of the ellipse?

• (-3,1 + √3) and (-3,1 - √3)

• (±√3,0)

• (0,1) and (-6,1)

• (-3 + √3,1) and (-3 - √3,1)

A hyperbola has vertices (±5, 0) and one focus at (6, 0). What is the equation of the hyperbola in standard form?

What are the equations for the asymptotes?

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• x²/25 + y²/11 = 1

• x²/5 - y²/11 = 1

• x²/11- y²/25 = 1

• x²/25 - y²/11= 1

What is the equation for the graph?

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