Question

The given point is on the graph of y=f(x). Find a point on the graph of y=g(x).
g(x)=f(x-1)+3; (6,16)

Answer 1

since (6,16) is on the graph of y = f(x), we know that f(6) = 16

Answer 2

compare f(x-1) to f(6). What must x be equal to?

Answer 3

ie, f(x-1) = f(6) ----> x = ???

Answer 4

@jim_thompson5910 okay so x=5, f(5-1)+3 = 7 so how to I find the y cordinate?

Answer 5

oh I got it (7,19) very very VERY confusing tho!

Answer 6

(7,19) is close, but not correct

Answer 7

x = 7

g(x)=f(x-1)+3

g(7)=f(7-1)+3

g(7)=f(6)+3

g(7)=16+3

g(7)=19

nvm I misread lol. So yeah, (7,19) is on g(x)

Answer 8

lol! I have another similar question... I will try on my own real quick.

Answer 9

ok post the question and what you get

Answer 10

@jim_thompson5910
g(x)=1/4f(x);(-4,20)
I got (-1,5) and I know its wrong because answer keys says its (-4,5)

Answer 11

(-4,20) means f(-4) = 20

Answer 12

plug x = -4 into g(x)

g(x)=1/4f(x)

g(-4)=1/4f(-4)

g(-4)=1/4*(20)

g(-4)=5

Answer 13

you're only taking 1/4 of the y coordinate while you leave the x coordinate alone

Answer 14

OOOH!! I see.. thank you so much!!! :) I have a test tmrw I really appreciate your help!