PreCal Conics Section 2

(Quiz 2) Mustafa is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by (y+5)² = 12(x+2), where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

(1,-5)

(Quiz 2) Mustafa is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by (y+2)² = 9(x-2), where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

(4.25,-2)

(Quiz 2) Samara is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satellite can be modeled by y2 = 2(x+6), where x and y are modeled in inches. She realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

(-5.5,0)

(Assignment 2) A) Consider the parabola (y + 1)2 = 2(x + 1). Which equation is used to find the directrix? B) The directrix is x = ___

A) X = h-p B) -1.5

(Assignment 2) A) Write the equation of a parabola with its vertex at the origin and directrix at y = 1. B) Write the equation of a parabola with the focus at (3, 0) and the directrix at x = -3.

A) X² = -4y B) Y² = 12X Correct

(Assignment 2) Which of the following is the graph of (x - 2)² = -4(y + 3)?

B Correct

(Quiz 2) The line x = 2 is the axis of symmetry for a parabola. The focus of the parabola is located 3 units from the vertex. Which could be the equation for the parabola?

(x - 2)2 = 12(y - k)

(Quiz 2) Which is the standard form of the equation of the parabola that has a vertex of (-4, -6) and a directrix of y = 3?

(x+4)² = -36(y+6)

(Assignment 2) Your new flashlight uses a parabolic mirror which can be modeled by the equation(x - 2)² = 5(y + 1), where x and y are measured in centimeters. You need to place a new light bulb in your flashlight. How far away from the vertex of the parabolic mirror should you place the bulb to ensure a perfect beam of light? The bulb should be placed...

1.25 cm above vertex

(Quiz 2) Skylar is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (y+5)² = 12(x+2), where x and y are measured in inches. What is the focus of the flashlight?

A) (1,-5)

(Assignment 2) A) Write the equation for a parabola with the vertex at (-1, 3) and the equation of the directrix y = 1. B) Write the equation for a parabola with the focus at (-1, 4) and the equation of the directrix x = 5.

A) (x + 1)² = 8(y - 3) B) (y - 4)² = -12(x - 2) Correct

(Assignment 2) Which of the following statements are true about the graph of (y + 5)2 = 10(x - 2)? Check all of the boxes that apply.

A) The graph opens to the right. C) p = 2.5. F) The axis of symmetry is at y = -5.

(Quiz 2) Which is the standard form of the equation of a parabola with a focus of (0, -3) and its vertex at the origin?

x2 = -12y

(Quiz 2) Which is the standard form of the equation of the parabola shown in the graph?

x² = -16y

(Quiz 2) Which is the directrix of a parabola with equation x2 = 4y?

y = -1

(Quiz 2) Which is the directrix of a parabola with equation x² = 8y?

y = 2

(Quiz 2) Which is the axis of symmetry of a parabola with the equation y2 = -8x?

y=0

(Assignment 2) Use the information given in the graph to write the standard form of the parabola.

y² = -16x Correct