SOLUTION: I am trying to help my grandson with his algebra. I have forgotten so much! The problem: Sketch a narrow parabola tha spills water and has a turning point of (0, -4). Will

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I am trying to help my grandson with his algebra. I have forgotten so much! The problem: Sketch a narrow parabola tha spills water and has a turning point of (0, -4). Will       Log On


   

Question 118336: I am trying to help my grandson with his algebra. I have forgotten so much!
The problem: Sketch a narrow parabola tha spills water and has a turning point of (0, -4). Will this parabola have real or complex roots?
I can't even figure out where to start. Any help will really be appreciated. Thank you for your time. Shirley
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Sketch a narrow parabola tha spills water and has a turning point of (0, -4). Will this parabola have real or complex roots
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Have you grandson plot the point (0,-4) on the y-axis of an
x/y coordinate system.
If the parabola spills water it must look like a goblet that
is upside-down; draw an upside-down parabola that has its
high point (vertex) at (0,-4).
Notice that this parabola does not intersect the x-axis.
That means it has two complex roots.
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Here's an example:
graph%28400%2C300%2C-10%2C10%2C-20%2C5%2C-x%5E2-4%29
Cheers,
Stan H.