Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 150918: Where will the vertex of f(x)= -3(x+4)2 + 5 be located?: Where will the vertex of f(x)= -3(x+4)2 + 5 be located?
Answer by jim_thompson5910(8311) About Me  (Show Source):
You can put this solution on YOUR website!
Notice how f(x)= -3(x+4)^2 + 5 is in vertex form f(x)= a(x-h)2 + k where a=-3, h=-4, and k=5. So the vertex is (h,k) which is (-4,5)


Here's a graph to visually verify the answer:

 drawing(500, 500, -10, 10, -10, 10,<BR>
 grid(1),<BR>
 graph( 500, 500, -10, 10, -10, 10, -3(x+4)^2 + 5),<BR>
 circle(-4,5,0.05),<BR>
 circle(-4,5,0.08),<BR>
 circle(-4,5,0.10)
<BR>

) Graph of f(x)= -3(x+4)^2 + 5 with a vertex of (-4,5)