Equation of parabola worksheet



In this page 'Equation of parabola work sheet' we will see number of problems in finding the equation of parabola, whose vertex, focus and directrix is given. The problems are given in quiz form.

Question 1:

Find the equation of the parabola whose focus is (3,0) and the equation of the directrix is x=-3



(A)Equation of the parabola is x2=12y
(B)Equation of parabola is y2=8x
(C) Equation of the parabola y2=12x




Question 2:

Find the equation of the parabola whose focus is (4,1) and the equation of the directrix is x=0.



(A)Equation of the parabola is x2=12y
(B)Equation of parabola is y2-8x-2y+17=0
(C) Equation of the parabola y2=12x




Above two problems in this page 'Equation of parabola work sheet' are finding the equation if focus and directrix are given. Next two problems are discussing about finding equation if vertex and directrix are given.

Question 3:  Equation of parabola worksheet

Find the equation of the parabola whose vertex is the origin(0,0) and the equation of the directrix is x = 2.



(A)Equation of the parabola is x2=12y
(B)Equation of parabola is y2= -8x
(C) Equation of the parabola y2=12x




Question 4:

Find the equation of the parabola whose vertex is (1,2) and the equation of the directrix is y = 0.



(A)Equation of the parabola is x2-8y-2x+17=0
(B)Equation of parabola is x2-2y-8x+10=0
(C) Equation of the parabola x2=12y




In the next two problems we are discussing about finding the equation of parabola if focus and vertex are given. Equation of parabola worksheet  Equation of parabola worksheet

Question 5:

Find the equation of the parabola whose vertex is (-2,-1) and the focus is (-4,-1).



(A)Equation of the parabola is x2-8y-2x+17=0
(B)Equation of parabola is x2-2y-8x+10=0
(C) Equation of the parabola y2+2y+8x+17=0




Question 6:

Find the equation of the parabola whose vertex is the origin (0,0) and the focus is (0,4).



(A)Equation of the parabola is x2=16y
(B)Equation of parabola is x2-2y-8x+10=0
(C) Equation of the parabola y2+2y+8x+17=0



Parents and teachers can guide the students to solve the problems discussed in 'equation of parabola work sheet' as in the methods discussed in the corresponding pages. We had solved how to find the equation of the parabola if focus and directrix are given; focus and vertex are given; or vertex and directrix are given. Students can follow the problems step by step and try to solve the given practice problems. If you have any doubt please contact us through mail, we will clear all your doubts.



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