Conic Sections Quiz

Which of the following is the standard form of the equation of a circle?

• x² + y² + Dx + Ey + F = 0

• (x - h)² + (y - k)² = r²

• [(x - h)² / a²] + [(y - k)² / b²] = 1

• (x - h)² = 4p(y - k)

What is the center of the circle (x + 4)² + (y - 2)² = 25?

• (4, 2)

• (-4, 2)

• (4, -2)

• (-4, -2)

What is the radius of the circle (x - 3)² + (y + 5)² = 36?

• 6

• 3

• 36

• 18

What is the general form of the equation of a circle?

• x² + y² + Dx + Ey + F = 0

• x² + y² = r²

• (x - h)² + (y - k)² = r²

• y = ax² + bx + c

What does the constant r in the circle's equation represent?

• Diameter

• Chord length

• Radius

• Area

The standard form of a vertical parabola is:

• x² = 4py

• y² = 4px

• (x - h)² = 4p(y - k)

• (y - k)² = 4p(x - h)

In a parabola, the vertex is the point:

• Where the graph intersects the y-axis

• Midpoint of the directrix and focus

• End of the parabola

• Where the axis intersects the directrix

Which of the following opens to the right?

• y² = -4px

• (x - h)² = 4p(y - k)

• (y - k)² = 4p(x - h), where p > 0

• y² = 4px

The line that a parabola 'reflects' across is called the:

• Focus

• Vertex

• Axis of symmetry

• Directrix

In the parabola (x - 1)² = -8(y + 2), the value of p is:

• -8

• 2

• -4

• 4