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

Algebra ->  Linear-equations -> SOLUTION: graph y=2(x+3)^2+4      Log On


   

Question 206328: graph y=2(x+3)^2+4
Answer by mickclns(59) About Me  (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:
+graph%28300%2C300%2C-5%2C5%2C-1%2C9%2C2%2A%28%28x%2B3%29%5E2+%2B+4%29+%29+