Question

Is this right?

Answer 1

yeah those are fine

Answer 2

just be sure to label the foci and the vertices on the graph (also I forgot to mention that on the ellipse graph whoops, the foci need to be there too)

Answer 3

be careful since the axis goes by units of 2 not 1

Answer 4

the focii are (2,2) and (2,-8)

Answer 5

also you need to re-adjust your hyperbola, they need to be aligned so that the focii are on the line of symmetry

Answer 6

the focii should be on a straight vertical line, yours are crooked

Answer 7

you need to move your second focus down, it's on -6 right now when it should be on -8

Answer 8

okay did that

Answer 9

good, now you need to re-draw your hyperbola so that they're symmetric on the line x = 2, currently they're mis-aligned

Answer 10

keep in mind your vertices are (2,0) and (2,-6) so the hyperbola should cross these two points and be symmetric as possible

Answer 11

keep in mind the tick marks on the axes represent 2 not 1

Answer 12

the hyperbola should be aligned with the foci, the focal line should "split" the hyperbola in half

Answer 13

1. start by plotting the vertices (2,0) and (2,-6)
2. then draw the hyperbola so that x = 2 is the dividing line that makes the hyperbola symmetrical

Answer 14

draw a line at x = 2

does the line divide the hyperbola in two mirror images? if not, then re-draw the hyperbola

Answer 15

oh is this better for it to divide

Answer 16

the line needs to make the hyperbola divided into two ~equal~ ~symmetric~ ~halves~

Answer 17

think of the line x= 2 as a mirror - both halves of the mirror need to be the same

Answer 18

Yeah i understand what you are saying i dont want you to think i dont understand what you are syaing

Answer 19

Sure

Answer 20

much better, just need to move that second focus down because it's at -6 right now when it needs to be -8

Answer 21

the hyperbola position stays the same

Answer 22

the blue dots should not be touching the line

Answer 23

there we go

Answer 24

oh thank god whew