Question

mandolino use the graph of f to sketch each graph

Answer 1

let's establish this convention
top left=A; top right=B
bottom left=C; bottom right=D

Answer 2

let's establish this convention
top left=A; top right=B
bottom left=C; bottom right=D

Answer 3

lets use this convention
top left=A; top right=B
bottom left=C; bottom right=D

Answer 4

So when its positive its to the left and when the number is negative its to the right?

Answer 5

correct. the expression in the definition is "x-h" for horizontal transformations
so when you have say x+7 you really have x-(-7) so h=-7 ie, left
when you have x-5 you have h=+5 ie, right

Answer 6

so f(x-2) has h=+2, so 2 units right, answer D

Answer 7

Ok i understand that but for the next one +5 def means upward?

Answer 8

(b) y=-f(x)+5
correct f(x)+k moves up k units when k>0; down k units when k<0
also -f is an x-axis reflection; remember that y=f(x), so when you negate f(x) for a graph you are really negating all the y-values; so compared to the parent function all positve y's become negative, and all negative y's become positve

Answer 9

(b) y=-f(x)+5
so there is also an x-axis reflection on this one
what's the answer?

Answer 10

Im saying C because its -f(x) so that means its flipped then i moved it up 5 spaces

Answer 11

(b) y=-f(x)+5 answer is C!

Answer 12

Yes!

Answer 13

(c) y=.5f(x)
y=a*f(x) assume a>0
if a>1 then you have a vertical "stretch"
if a<1 then you have a vertical "compression"
a=0.5
what is the answer?

Answer 14

I should have written:
if 0<a<1 then you have a vertical "compression"

Answer 15

My comp. is dying and i dont have my charger

Answer 16

ummm

Answer 17

do you want me to email the answers to 7c-g and 8 for 1.7 so you can check your work?

Answer 18

Yea im going to try and do it on my own then check, if i have problems can i email tomorrow?

Answer 19

sure; i'll do a quick double check and then email the answers; this was working pretty good. . . if somebody didn't forget her power cord...

what about 2.1

Answer 20

Lol i no i no. :-( . I have school all day tomorrow can we work on that thursday?

Answer 21

its really about to shut down so email if anything

Answer 22

ok, what time about 7pm

Answer 23

or im going to email you

Answer 24

g'night