SOLUTION: So if g(x) = f(x − d)  + c , determine the values of d and c What would be the values of c and d? Please check document for graph visual! https://docs.google.com/

Algebra ->  Graphs -> SOLUTION: So if g(x) = f(x − d)  + c , determine the values of d and c What would be the values of c and d? Please check document for graph visual! https://docs.google.com/      Log On


   

Question 1179952: So if g(x) = f(x − d)  + c , determine the values of d and c
What would be the values of c and d?


Please check document for graph visual! https://docs.google.com/document/d/1NONOUm0gHlTx0s5kcF4sRhI4TnzrKbGWR6Y0CZRdsHE/edit?usp=sharing
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
given:
f%28x%29=2sqrt%28x-3%29%2B1
So if g%28x%29+=+f%28x+-d%29%E2%80%89%E2%80%89%2B%E2%80%89c , determine the values of d and c
use points that lie on g%28x%29+

(5,3)
(1,-1)
g%28x%29+=+f%28x+-d%29%E2%80%89%E2%80%89%2B%E2%80%89c
f%28x-d%29=2sqrt%28x-d-3%29%2B1
g%28x%29+=+2sqrt%28x-d-3%29%2B1%E2%80%89%2B%E2%80%89c
(5,3)
3=+2sqrt%285-d-3%29%2B1%E2%80%89%2B%E2%80%89c
c+=+2+-+2+sqrt%282+-+d%29....................1)
(1,-1)
-1=+2sqrt%281-d-3%29%2B1%E2%80%89%2B%E2%80%89c
c+=+-2+sqrt%28-d+-+2%29+-+2..............2)

2+-+2+sqrt%282+-+d%29=+-2+sqrt%28-d+-+2%29+-+2.............simplify
1+-+sqrt%282+-+d%29=+-sqrt%28-d+-+2%29+-+1
1%2B1+-+sqrt%282+-+d%29=+-sqrt%28-d+-+2%29+
2+-+sqrt%282+-+d%29=+-sqrt%28-d+-+2%29+.......square both sides
%282+-+sqrt%282+-+d%29%29%5E2=+%28-d+-+2%29+
-d+-+4+sqrt%282+-+d%29+%2B+6=+-d+-+2+........simplify
-d+%2Bd%2B2++%2B+6=+4+sqrt%282+-+d%29+
8+=+4+sqrt%282+-+d%29.....simplify
2+=sqrt%282+-+d%29....square both sides
4+=2+-+d
d=2+-+4
highlight%28d=-2%29

c+=+2+-+2+sqrt%282+-+%28-2%29%29....................1)
c+=+2+-+2+sqrt%284%29
c+=+2+-+2+%2A2
c+=+2+-+4
highlight%28c=-2%29

now find f%28x+-d%29%E2%80%89
f%28x+-d%29%E2%80%89=2sqrt%28x+-d-3%29%2B1
f%28x+%2B2%29%E2%80%89=2sqrt%28x%2B2-3%29%2B1
f%28x+%2B2%29%E2%80%89=2sqrt%28x-1%29%2B1

substitute all in g%28x%29
g%28x%29=2sqrt%28x-1%29%2B1-2
g%28x%29=2sqrt%28x-1%29-1=> your function