The graph of opens up if and down if Explain why or how that statement is true.

The graph 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.)

What could be seen or indicated in this type of a scenario is that there is more like an increasing or an increased slope if and when the graph tends to open upwards.  On the other hand, if there is a curve that is sort of pointing downwards, that might be indicative of the notion that this might be a graph that has a declining and therefore, more like a reduced slope.  So the values of X should tend to increase and therefore go up with a rising slope and an upward graph; on the other hand, the values of X tend to be decreasing and therefore, declining if and when the slope of the graph tends to go downward.

Answer 2

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.