SOLUTION: In which direction does the parabola open that has a Vertex at (2, -5) and y-intercept at -17

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Question 807833: In which direction does the parabola open that has a Vertex at (2, -5) and y-intercept at -17
Found 2 solutions by Edwin McCravy, josmiceli:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Let's plot the vertex and the y-intercept and see:



Now the upper point has to be the vertex, and common sense 
tells you that the only way that the y-intercept can be way down
there at -17, is for the parabola to open downward, like this:  



So this problem doesn't require any algebra knowledge, just
common sense.

Edwin
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
I would say that it opens down because the
y-intercept is more negative than the
y-coordinate of the vertex.
I should be able to prove it
--------------------------
I'll say the parabola is:

The vertex is at ( 2,-5)



------------
I can also say





-----------------
And also
(0,-17)


-------------




-----------
and



-----------


Does it go through (2,-5) ?




OK
here's the plot:
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