SOLUTION: graph y=2(x+3)^2+4

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Question 206328: graph y=2(x+3)^2+4
Answer by mickclns(59)   (Show Source): You can put this solution on YOUR website!

The "parent" function is y = x^2, shown above in red. The vertex (0,0) is moved to (-3, 4) shown in green. The 2* stretches it vertically (making it look more narrow) from the vertex as SHOWN IN BLUE, THE GRAPH YOU ARE LOOKING FOR. Notice that the 2* stretches it from the x-axis (where the original vertex lies) BEFORE it is moved up. If the 2* stretched from the x-axis AFTER it is moved up the equation would be y = 2(   (x+3)^2 + 4   ) and the graph would be as below:

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