Precal Conics Section 1

(Quiz 1) Review the graph of circle A. Which equation represents circle A?

(x + 2)² + y² = 25

(Assignment 1) Which equation has a center at (2, 1) and a point on the circle of (2, -3)?

(x - 2)² + (y - 1)² = 16 Correct

(Assignment 1) Which equation describes the circle?

(x - 4)² + (y + 1)² = 25 Correct

(Quiz 1) Which graph represents the equation y = - (x - 1)2 + 1?

B

(Assignment 1) Which graph represents the equation (x-1/2)² + (y+5/2)² = 1/2

B Correct

(Assignment 1) Which image shows a plane slicing a cone to produce an ellipse?

B Correct

(Quiz 1) Consider the equation y = (x + 2)2 - 3. What is the length of the focal width of the parabola?

B) 4 Units

(Assignment 1) Which equation has a focus at (-6, 12) and directrix of x = -12?

C) (Y-12)² = 12(X+9) Correct

(Quiz 1) Review the graph of circle A. Which equation represents circle A?

C) (x - 4)² + (y + 5)² = 36

(Quiz 1) The angle between the generator and the central axis of a double-napped cone is 50°. Which conic section is formed when a plane intersects the central axis at 50°?

C) Parabola

(Assignment 1) Which equation has a vertex at (3, -2) and directrix of y = 0?

C) Y+2 = -1/8(X-3)² Correct

(Assignment 1) What describes θ when an ellipse is created from an intersection of a plane and double-napped cone?

C) α < θ < 90⁰ Correct

(Quiz 1) Consider the equation (x - 5) = (y - 2)2. What is the equation of the directrix?

D) x = 4.9375

(Assignment 1) Complete the statements to describe the graph that represents the equation (y - 8) = -2(x - 2)2.

The vertex is (2, 8) The directrix is y = 8.125. The focus is (2, 7.875) The focal width is 0.5 Correct

(Assignment 1) Which equation has a vertex at (0, 5) and focus of ?

x=1/6(y-5)² Correct

(Quiz 1) Consider the equation y - 4 = 2(x + 3)². Where is the vertex located, and in which direction does the parabola open?

A) vertex: (-3, 4); parabola opens up

(Quiz 1) The center of a circle is 5 units below the origin, and the radius is 10 units. What is the equation of this circle?

C) x² + (y + 5)² = 100

(Quiz 1) Review the graph of a parabola. Which equation represents the curve shown?

A) 2(x + 2) = (y + 3)²

(Quiz 1) A plane intersecting a double-napped cone is perpendicular to the central axis. Which conic section is formed?

A) Circle

(Assignment 1) Which conic section is formed when a plane intersects the central axis of a double-napped cone at a 90° angle?

A) Circle Correct