- Suppose g(x) = f(x+1)+5. Which statement best compares the graph of g(x) with the graph of f(x)?
A. The graph of g(x) is shifted 1 unit left and 5 units down.
B. The graph of g(x) is shifted 1 unit left and 5 units up.
C. The graph of g(x) is shifted 1 unit right and 5 units up.
D. The graph of g(x) is shifted 1 unit right and 5 units down.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

-1/3(x+1)^5

i’m pretty sure this is correct

try quizlet : ) hope this