Question

What is the graph of? Pic attached! :)

Answer 1

slope

Answer 2

scatter plot thats the slope of it though

Answer 3

which one is that? lol

Answer 4

its a slope being showen on a scatter plot

Answer 5

@HopelessMathStudent: do you know how to find the centre of that hyperbola? i presume you do. cause we talked about it few minutes ago. so now. find the center, find the vertices and the look for the points of the vertices which match a graph on the possible answers. :). can you do that. it's very easy to spot without calculating.

Answer 6

but there are variables?

Answer 7

you have to find the vertices of the hyperbola. there's a simple trick. if the \[x\] term of the hyperbola is positive, the hyperbola opens left and right (hope you understand. so immediately, we know our answer is either A or D. now find the vertices. you know how to do this :). and when you get the vertices. you check which of these 2 possible answers A and D, satisfies it.

Answer 8

D?

Answer 9

how did you come to D?

Answer 10

you said it opens left to right?

Answer 11

yes but there are to graphs that open left and right? A and D. now it's for you to find which is correct. But how did you reach D? did you just guess? or you worked it out.

Answer 12

?

Answer 13

I tried to work it out using the (h + a, k) and (h - a, k) lol

Answer 14

that's fine. so what did you get for the vertices?

Answer 15

wait theyre exactly the same ? are they not?

Answer 16

the are opposite to each other.

Answer 17

from (h + a, k) and (h - a, k)

Answer 18

Urgh I'm stuck now:/

Answer 19

no, you're not stuck. from the equation of that graph \[a ^{?} = 9 \]

so \[a = 3\]

now. we have to find the vertices which is (h + a, k) and (h - a, k). but \[h = 0\] and \[k = 0\]

so what is (h + a, k) and (h - a, k)?

Answer 20

3,0 and -3,0

Answer 21

great!! now look at the 2 graphs. which graph has it's vertices at 3,0 and -3,0 ?

Answer 22

A!

Answer 23

:)

Answer 24

so that's your answer :). but im' sure you understand how we solve these questions :)

Answer 25

hahah yeah

Answer 26

so i'm glad ;)