SOLUTION: The graph of Quadratic equation of opens up if(?) and down if(?). Explain why or how that statement is true. (Hint: consider what happens as x gets more and more positive or more

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: The graph of Quadratic equation of opens up if(?) and down if(?). Explain why or how that statement is true. (Hint: consider what happens as x gets more and more positive or more      Log On


   

Question 994033: The graph of Quadratic equation of opens up if(?) and down if(?). Explain why or how that statement is true.
(Hint: consider what happens as x gets more and more positive or more and more negative.)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=-x^2. This opens up downward. As x^2 gets larger, -x^2 gets larger negative, so the graph goes down with increasing positive or negative x.
f(x)=x^2, here, when x is positive or negative x^2 is always positive, like the first case. But there is no negative sign in front of the x^2, so the graph opens upward.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2%2C+-x%5E2%29