Asked by Kelly
-4^2+44x-160=0
If you graphed the above equation, would the graph open up or down? How can you tell without graphing it?
If you graphed the above equation, would the graph open up or down? How can you tell without graphing it?
Answers
Answered by
Bosnian
Go on: wolframalpha dot com
When page be open in rectangle type:
-4^2+44x-160=0
and click option =
After few seconds you will see graph,and solution .
When page be open in rectangle type:
-4^2+44x-160=0
and click option =
After few seconds you will see graph,and solution .
Answered by
Kelly
Thank you very much!!
Answered by
Steve
Since you asked about answering the question without graphing it, let's forget about wolfram. No graph allowed!
However, think of the function:
-4x^2+44x-160
x^2 is always positive. SO, -4x^2 is always negative. So, as x assumes large positive and negative values, -4x^2 becomes a large negative value.
That means that the parabola opens downward.
In general, if the coefficient of x^2 is positive, the parabola opens upward; if negative, it opens downward.
You can play around at wolfram to see that this is so.
However, think of the function:
-4x^2+44x-160
x^2 is always positive. SO, -4x^2 is always negative. So, as x assumes large positive and negative values, -4x^2 becomes a large negative value.
That means that the parabola opens downward.
In general, if the coefficient of x^2 is positive, the parabola opens upward; if negative, it opens downward.
You can play around at wolfram to see that this is so.
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