What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x - 7)?
A) shifts the line 7 units left
B) shifts the line 7 units right
C) increases the slope of the line by a factor of 7
D) decreases the slope of the line by a factor of 7

B) shifts the line 7 units right.

Step-by-step explanation: When the a number is either added or subtracted  on the inside (will be surrounded by parentheses if it is on the inside) the parent function is moved right and left. Since it is inside parentheses, though, everything that happens will be the opposite of what it shows. Even though it says -7, and you would assume it shifts left, it doesn't. It actually goes to the right.

B)

Step-by-step explanation:

Subtracting 7 from the input shifts the line 7 units right.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions