A change to the inside of the function notation is always a left/right or horizontal change to the graph.
Answer: A
Subtracting 5 actually shifts the graph to the right by 5 units. It's counter-intuitive and there are many ways to explain why it's the opposite of what you think it'd do, but it is a shift to the right by 5 units.
PS
A change outside the f(x) notation is an up/down or vertical change to the graph.
Answer:
x = -4 , y = 3
Step-by-step explanation:
5x - 7y = -41 ... (i)
-3x - 5y = -3 ... (ii)
Multiplying (i) by -3 and (ii) by 5 ;
-15x + 21y = 123 ... (i)
-15x - 25y = -15 ... (ii)
Subtracting (i) by (ii) ;
0 + 46y = 138
46y = 138
y = 138 ÷ 46 = 3
Returning to equation (ii) ;
-3x - 5(3) = -3
-3x = -3 + 15
-3x = 12
x = -4
If y is the red marbles and x is the blue marbles, then for every x value you would be able to multiply by 2 to get the y value... it is the equivalent of looking at is as the slope rise/run or 2/1
D is the graph that shows this relationship. Look at the x value and multiply by 2 for the y value.
