Which matrix represents the system of equations shown below?


option D

Step-by-step explanation:

you have the equations:

the first column of the matrix must be the values of x on each equation, for the first equation we have a 3 and for the second equation we have a 4, so the first column is:

3

4

now, the socond column of the matrix must be the y-values on each equation, for the first equation is -7 and for the second since there is no y term, is 0:

-7

0

then the third column is the independent terms on each equation, for the first is 17 and for the second is 9

|  17

|  9

putting together the matrix:

which is option D

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2