Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Help with questions that are circled. Thank you. fIn Exercises 1-8, sketch the graph of the given parabola. Find the vertex, focus, and directrix. Include

image text in transcribed

Help with questions that are circled. Thank you.

image text in transcribedimage text in transcribed
\fIn Exercises 1-8, sketch the graph of the given parabola. Find the vertex, focus, and directrix. Include the endpoints of the latus rectum in your sketch. 1. (x-3) =-16y 2. x+ = 4()+ 3. (y-8) =-10(x+7) 4. () +4) =4x 5. (x-4) =2(y+6) 6. (x+1)" =-30(y-4) 7. (y-1)* = 24(x-3) B. ()+ ]) =-8(*+3) In Exercises 9-14, put the equation into standard form and identify the vertex, focus, and directrix. 9. y' -6y-36x+117=0 10. 2x+4x+3y-4-0 11. x3 +6.x-9y+81=0 12. 4y' +8y+2x-10=0 13. x -8x+6y+4=0 14. 3y' - 30y+2x + 101 2 -=0 In Exercises 15-18, find an equation for the parabola which fits the given criteria. 15. Vertex (3,0), focus (0,0) 16. Focus (12,3), directrix x=6 17. Vertex (-8,-9); (0,0) and (-16,0) 18. The endpoints of latus rectum are are points on the curve (2,9) and (6,9) 19. The mirror in Alan's flashlight is a paraboloid of revolution. If the mirror is 8 centimeters in diameter and 4.5 centimeters deep, where should the light bulb be placed so it is at the focus of the mirror? 20. A parabolic TV antenna is constructed by taking a flat sheet of metal and bending it into a parabolic shape. If the cross section of the antenna is a parabola which is 50 centimeters wide and 30 centimeters deep, where should the receiver be placed to maximize reception

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Climate Mathematics Theory And Applications

Authors: Samuel S P Shen, Richard C J Somerville

1st Edition

1108750184, 9781108750189

More Books

Students also viewed these Mathematics questions