Select all of the quadrants that the parabola whose equation is y = x² - 4 occupies.

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Question

Select all of the quadrants that the parabola whose equation is y = x² - 4 occupies.

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II
III
IV

anonymous · Answer

@shamim

hitaro9 · Answer

If absolute worst comes to worse and the answer isn't intuitive, why not just graph it?

hitaro9 · Answer

Are you able to graph y=x^2 -4?

hitaro9 · Answer

(If you're still not sure how to graph something, just plug in points and that should reveal a graph of some sort)

anonymous · Answer

Ohhhh! It occupies all four quadrants.

hitaro9 · Answer

Yep. C:

anonymous · Answer

:D

hitaro9 · Answer

Sometimes if a question seems confusing, just taking it to basics helps

anonymous · Answer

What about $$y=\sqrt{x-4}$$ ?

anonymous · Answer

@Hitaro9

hitaro9 · Answer

Not sure of what the graph looks like? We can always just plug in points again

anonymous · Answer

And same for$$x=\sqrt{y-9}$$

hitaro9 · Answer

If we plug in x= 0, it doesn't return a value. Same for x= -1, x=-2, x=-3... 

So any x value less than 4 just isn't going to work

hitaro9 · Answer

|dw:1431245289683:dw|

hitaro9 · Answer

So it's definitely not going to be in 2 or 3

hitaro9 · Answer

So let's think, at x =5 what could happen 

we have y =sqrt(1)

anonymous · Answer

It's just in 1, right?

hitaro9 · Answer

I believe so. Unless your teacher counts the line between quadrants as being a part of the quadrant

hitaro9 · Answer

So like when x= 4 y=0 so we have the point |dw:1431245427433:dw|

hitaro9 · Answer

Is that "in" quadrant 4?

anonymous · Answer

What about the second problem?

hitaro9 · Answer

Well if we swap x and y what happens to a function?

anonymous · Answer

I have no idea..lol