A parent function is the function from which all similar functions can be derived.
The given function f(x) = - 3x + 2 is a linear function, so its parent function must have to be a linear function.
The parent linear function is f(x) = x
Note that you can derive the above function from x by first multiplying it with -3 and then adding 2.
So the correct option is option C
A.
Use technology to plot the graph.
Here it is using wolframalpha.com.
http://www.wolframalpha.com/input/?i=y+%3D+-5;+y+%3D+3x+-+2+for+-2%3C%3Dx%3C%3D2
B.
The solution is where the graphs of the lines intersect. It is at point (-1, -5).
C.
y = -5
y = 3x - 2
-5 = 3x - 2
3x = -3
x = -1
The solution is (-1, -5) which is the same as with the graph.
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Answer:
12:6, or 12 pints of lemonade
