Final Mastery Test in Pre-Calculus

Which of the following is the graph of the ellipse defined equation below?

 $\frac{\left(x+2\right)^2}{25}+\frac{\left(y-1\right)^2}{16}=1$  

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Which of the following is the graph of the equation

 $4x^2+12x+y^2-8y=64$  ?

• Circle

• Parabola

• Ellipse

• Hyperbola

Which of the following equations represent an ellipse?

• 3x² + 3y² = 25

• 3x² - 5y² = 25

• 3x² + 5y² = 25

• 3x² + 3y = 25

Which of the following is an equation a circle?

• 2x² +y + 4x = 0

• x² - 4y² = 25

• 2x² + 2y²+ 3x- 4y= 25

• 2x² + 3y = 25

Which of the following equations represent a hyperbola?

• 3x² + 3y² = 25

• 3x² - 5y² = 25

• 5x² + 8y² = 25

• 2x² + 3y = 25

Which of the following equations represent a parabola?

• 9x² + 3y² = 25

• x² - 5y² = 25

• 3x² + 5y² = 25

• 2x² + y = 25

The standard form of the equation  $9x^2-4y^2=36$   is_________.

•  $\frac{x^2}{4}-\frac{y^2}{9}=1$  

•  $\frac{x^2}{36}-\frac{y^2}{9}=1$  

•  $\frac{x^2}{25}-\frac{y^2}{4}=1$  

•  $\frac{x^2}{5}-\frac{y^2}{20}=1$  

Which type of conic is represented by the equation 6x² + 6y²+ 12x- 8y= 100 ?

• circle

• ellipse

• parabola

• hyperbola

Which of the following is the center of the ellipse?

 $\frac{\left(x-2\right)^2}{16}+\frac{\left(y+1\right)^2}{25}=1$  

• (2, 1)

• (2, -1)

• (-2, 1)

• (-2, -1)

Which of the following are the vertices of the ellipse

 $\frac{\left(x-1\right)^2}{16}+\frac{\left(y+2\right)^2}{25}=1$  

• (1, 2) and (1, -6)

• (5, -2) and (-3, -2)

• (1, 3) and (1, -7)

• (6, -2) and (-4, -2)