SOLUTION: I am having difficulty with a math question. The question is as follows: Draw the graph of y = -2[x+1] - 4. Do not do this by plotting points. Instead construct a sequence of

Question 208275: I am having difficulty with a math question. The question is as follows:
Draw the graph of y = -2[x+1] - 4. Do not do this by plotting points. Instead construct a sequence of five graphs and get from one graph to the next by applying an appropriate transformation.
My question - are there specific graphs I need to follow or can I use any equation to apply the transformation?
We had another sample question using the following 5 equations. Can I use these same equations for my question above by plugging in the above equation to make a final equation to graph?
1) y = x^2
2) y = (x+1)^2
3) y = 3(x+1)^2
4) y = -3(x+1)^2
5) y = -3(x+1)2 +4
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Draw the graph of y = -2[x+1] - 4. Do not do this by plotting points. Instead construct a sequence of five graphs and get from one graph to the next by applying an appropriate transformation.
My question - are there specific graphs I need to follow or can I use any equation to apply the transformation?
----------------------------
Start with y = x
------------------------
Transform to y = x+1 which moves y = x one unit to the left.
-------------------------
Transform that to y = -2(x+1) which reflects the previous in the x axis
and increases the negative slope.
-------------------------
Transform that to y = -2(x+1)-4 which lowers the previous by 4 units.
-----------------------------
Final Result:

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Cheers,
Stan H.
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