SOLUTION: Uisng the equation f(x)=a(x-h)2 + k, how do you determine the direction the graph opens?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Uisng the equation f(x)=a(x-h)2 + k, how do you determine the direction the graph opens?      Log On


   

Question 150919: Uisng the equation f(x)=a(x-h)2 + k, how do you determine the direction the graph opens?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If a%3E0, then the graph will open upwards like this

Graph of y=2%28x-3%29%5E2%2B5. Notice how a=2%3E0


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If a%3C0, then the graph will open downwards like this

Graph of y=-3%28x-6%29%5E2-2. Notice how a=-3%3C0