Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 150919: Uisng the equation f(x)=a(x-h)2 + k, how do you determine the direction the graph opens?: Uisng the equation f(x)=a(x-h)2 + k, how do you determine the direction the graph opens?
Answer by jim_thompson5910(8311) About Me  (Show Source):
You can put this solution on YOUR website!
If a>0, then the graph will open upwards like this

drawing(500, 500, -10, 10, -10, 10,<BR> graph( 500, 500, -10, 10, -10, 10,2(x-3)^2+5) <BR> ) Graph of y=2(x-3)^2+5. Notice how a=2>0


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If a<0, then the graph will open downwards like this

drawing(500, 500, -10, 10, -10, 10,<BR> graph( 500, 500, -10, 10, -10, 10,-3(x-6)^2-2) <BR> ) Graph of y=-3(x-6)^2-2. Notice how a=-3<0