Question

y=sqrt(-x+2)-1
(A)What was the basic function?
(B) What transformation were applied?
(C) Label final intercepts

Answer 1

\(\normalsize\color{green}{ so\ the\ parent\ function\ is\ f(x)=sqrt{x} }\)

Answer 2

\(\normalsize\color{green}{ \sqrt{x} }\)

Answer 3

\(\normalsize\color{green}{ if\ g(x)=f(x+1) \ it\ is\ shifted\ 1\ uniyt\ to\ the \ left\\ if \ g(x)=f(x-1)\ it\ is\ shifted\ 1 unit\ to\ the\ the\ right\\ if g(x)= f(x)+1 \ it\ is\ shifted\ 1\ unit\ up\\ if g(x)= f(x)-1 it\ is\ shifted \ down }\)

Answer 4

Can you apply this to that function?

Answer 5

would the intercepts be
x:(1,0)
\[y:(0, \sqrt{2}-1)\]

Answer 6

if g(x)=-f(x) it reflected

Answer 7

eh, is there something im not seeing?

Answer 8

y intercept is as you said. X intercepts you have to f(x)=0 so I don't know if you got the right answer

Answer 9

ok can we start from the first one
how would I find the basic function

Answer 10

No you're good

Answer 11

the basic function is rootx it is the parent function rootsquare

Answer 12

so basic function is?\[\sqrt{x}\]

Answer 13

thats what I got from your sentence

Answer 14

yes correct

Answer 15

for B you need to recognize what happens to that basic function that got us to the function above

Answer 16

oh ok

Answer 17

I mean the transformation

Answer 18

so it goes to the left 2 and down 1?

Answer 19

right!

Answer 20

and it is also reflected

Answer 21

oh yea the x is negative

Answer 22

right!

Answer 23

so then that's B, then C is the Final intercepts meaning the last x and y intercepts right?

Answer 24

Correct!

Answer 25

which is what i put
well thanks for the help!

Answer 26

It gets easier the more I do it

Answer 27

Exactly!

Answer 28

You're welcome

Answer 29

alright see ya

Answer 30

yes! it practice the more you do it the more it gets easier. the habit they say haha

Answer 31

yea

Answer 32

Alright!