Question

Use shifts of power functions to find a possible formula for each of the graphs below. Assume the graphs are not being stretched. Attached are two pictures of A) graph and B) Graph

Answer 1

A)
standard equation of a parabola with vertex h and k
y=a(x-h)^2+k
here the vertex is -3,-2
so h=-3 and k=-2
hence
\[y=a(x+3)^2-2\]
here no information for a is given since the parabola is opening downeards, a is negative
\[y=a(x+3)^2-2\]

Answer 2

here a is negative

Answer 3

okay let me look it over

Answer 4

do i put a in the y= equation?

Answer 5

yeah it's important

Answer 6

okay cool! thanks. How does B look

Answer 7

5 minutes, I'll take a look into it

Answer 8

okay thanks

Answer 9

sorry took long, dude I don't recognise this curve. Let me ask others for help

Answer 10

thanks!

Answer 11

where did u go?

Answer 12

Hi, sorry kept you waiting
I think this is tan x shifted
y= 7+tan(x-14)
as at x= 14 y=7

Answer 13

but I dnt think i would write it with tan in it

Answer 14

I've an idea let me work on it

Answer 15

thanks so much

Answer 16

just like the other on u showed me y=x^2, i think this type of graph is y=x^3

Answer 17

This is also a form of x^2 , it's vertex is (14,7) so
y= (x-14)^2+7 for x>=14
and
-(x-14)^2+7 for x<14

Answer 18

is that part the answer?

Answer 19

yeah for x>=14 we have a different function and for x<14 we have different

Answer 20

so it has that negative sign in front

Answer 21

yeah

Answer 22

ok thanks

Answer 23

welcome , do check them with your teacher and tell me if i got it right

Answer 24

butthe graph is positive

Answer 25

- sign is bringing the graph downward, it's initially positive, then it becomes negative . The negative part is not shown in the graph

Answer 26

okay thanks