The function g(x) = (x + 2y2 + 4 is a transformation of the parent function f(x) = x? Which of the following statements are true? Select all that apply
A Function g is the result of / being translated right 2 units and down 4 units.
B. Function g is the result of being translated left 2 units and up 4 units,
C. The graph of function fopens upward,
D. The graph of function opens downward
E The graph of function is compressed by a factor of 2.

I think its D

Step-by-step explanation:

europa2433

europa2433

step-by-step explanation:

(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