Question

suppose (-6,2) is a point on the graph of y=g(x). what point is on the graph of y=-4g(x-7)+1

Answer 1

if x = 1 you get
\[-4\times g(1-7)+1=-4\times g(-6)+1=-4\times 2+1=-8+1=-7\]

Answer 2

if g(-6)=2
then if x-7=-6 >x=1
so
y=-4g(1-7)+1=-4g(-6)+1=-4(2)+1=-8+1=-7

Answer 3

so
\[(1,-7)\] is on the graph of
\[-4g(x-7)+1\]

Answer 4

thank you