University:
Camosun College
Course:
NURS132 | Promoting Health and Wellbeing
Academic year:

2024
Views:

250

Pages:

4
Author:

Aysha A.

Delrity 10.2. parabola Prodedure: using the tool pwaboks sedut a line and apoint to yet a palabola with the line as directrix and the point as hous we can also draw a purabola using input comman for example the inpur command Parabola (210), *+2=0] gives the parabdar with focus (210) and directrix x+20=0 If A represents a point and Irepresent a line thin the command parcibola [A. P] gives the purcabola with focus in and directrix f. Q. Draw alins and plot a point. Draw the corresponding parabola change the distance between the line and the pointer observed the corresponding change in the Asheupe of the precatole OBSERVATION: when the cistanes decreases, the wid the uf the parabola decreases • whenth the diskmee Increases the width cof the parabola increare when the distance between the line and the point is Zero the parabola vanishes. Q Tind the Tours and direittix of the following Para bala ulina Parabola tool, draw them. 9. Check whither the equection of the parabola that you have drawn is same as the given equation. 1)²= x. ans. 44: 9=> a = 2 hous = Cao): (210). Equution af director x = -a =>x=-2 wing parabola tool, the parabola is drawn and equation 13 same se y²= 80 11) x=4y Gry 40=4=>a=1 focus - (Oin) = (0,1) Equation of the direcrane y= -a=>y = -1 using parabola tool, the paraboles 13 dicon Cmel equation 13 same is 7²= 4y iil) x2=-4y locas: (0,-a)= (01-1) Equation of the caneshix y = a=> y=1 Using Parabola fool, the parabola is drawn. and cavation 13 same ili 22-244 42--10x ans. ha lo =) a 16 =2.5 Socus: = 1-4,0)=(-25.0) Equation of the directrix x = a => x = 2.5 using purabola fool, the parabola 1) drawn and equation is same is y²--102 Activity: 10.3: parabola R Procedure. t By giving the equations of the paxiboden 13 directly in the mput bar, we can draww the parabola creat a slider a and gives the uprig hax and x2 = nay. Q. change the value aya Shape of the parabokss and observe the Observation: As the valen af es moreases, the width of the parabole increases when: a= Orpaabokramı as the value of a decreases, the width of the Palabola decreases chaarabola reverses (milior Imiar) Ib Sherpe of. Find the length of Labes rechen aftre following parabda verify your answu geome Irically as follows. Inpat the equation and draw the parabola. using focus Comanand (Focus Ivame of parabi la, ul Lan fond in folus. Draw the line through the focus and pupendicular to the axis of the parabola. Marte the points of Intusection of this line withe the parabola and join them with a line segmens. Hide the line and meesnes the length of the latuy rectum. ons. 4a=6=>ムッ=1 Focus = (910) = (1.510) Length of lataus box rectum): 49=428-4 x2=tog. 10 4a=10=> a = 2.5 Tous = (0,4) = (0.25) rength of lactus mitum: 49=4.2-9 (v) 4²=-4x