I take my Conic Section Quiz I gave to my students........

The video tutorial covers solving equations for conic sections, including parabolas, circles, ellipses, and hyperbolas. It explains how to write equations in standard form, identify key features like vertices, foci, and centers, and classify graphs. The tutorial also demonstrates plotting techniques and solving for asymptotes and eccentricity in hyperbolas.

What is the vertex of a parabola with a directrix at x = -2 and a focus at (1, 0)?

• (1, -1/2)

• (-2, 1)

• (-1/2, 0)

• (0, 1)

How do you find the value of 'p' in the equation of a parabola?

• By dividing the sum of the focus and directrix by 2

• By adding the coordinates of the focus and directrix

• By subtracting the directrix from the focus

• By calculating the distance between the vertex and the focus

What is the radius of a circle with the equation x^2 + 8x + y^2 - 8y = 36 after completing the square?

• 4

• 2

• 6

• 8

In an ellipse, what determines the major axis?

• The larger value between a^2 and b^2

• The smaller value between a^2 and b^2

• The sum of a^2 and b^2

• The difference between a^2 and b^2

What is the center of an ellipse with a horizontal major axis and vertices at (±5, 4)?

• (0, 4)

• (5, 0)

• (4, 0)

• (0, 5)

How do you determine the center of a hyperbola given its vertices?

• By subtracting the coordinates of the vertices

• By finding the midpoint of the line segment joining the vertices

• By averaging the y-coordinates of the vertices

• By averaging the x-coordinates of the vertices

What is the eccentricity of a hyperbola with vertices at (3, 5) and (3, 1) and foci at (3, 6) and (3, 0)?

• 3/5

• 5/3

• 2/3

• 3/2

How do you classify a conic section if 4 times a - 3 is less than zero?

• Ellipse

• Parabola

• Circle

• Hyperbola

What is the equation of a circle centered at (-4, 3) with a radius of √18?

• (x + 4)^2 + (y - 3)^2 = 18

• (x - 4)^2 + (y + 3)^2 = 18

• (x + 4)^2 + (y + 3)^2 = 18

• (x - 4)^2 + (y - 3)^2 = 18

For a hyperbola with a^2 = 225 and b^2 = 400, what is the length of the transverse axis?

• 20

• 30

• 25

• 15