Question

I don't understand this :(
Suppose (-3, 5) is a point on the graph of y = g(x)
What point is on the graph of y = -3g(x-4) + 3
What point is on the graph of y = g(3x+9)

Answer 1

@imqwerty

Answer 2

Well the line has a horizontal shift to the right 4 units so this says
(-3,5) turns to (1,5)

Answer 3

then has slope of -3

Answer 4

which becomes (-3,-15) then shifts up 3 units upward, (-3,-12)

Answer 5

i might be wrong

Answer 6

g(x)=y

and u got-
y = -3g(x-4) + 3
y-3=-3g(x-4)
(y-3)/(-3) =g(x-4)

compare this with g(x)=y
we know that in this^ when x=-3 y=5
so compare g(x)=y with (y-3)/(-3) =g(x-4)

x-4=3
x=7

(y-3)/(-3) =5
y-3=-15
y=-12

so (7,-12)

do the same with the second one :)

Answer 7

it should be (-3,12) your step with x-4=3 should actually be x-4=-3