SOLUTION: I have a parabolic shape that is shown as: y = 2x^2
I also need to graph an ellipse: (y - 2)^2/1 + x^2/4 = 1
Then, I need to decide if the parabola fits in the hole.
Algebra.Com
Question 58576: I have a parabolic shape that is shown as: y = 2x^2
I also need to graph an ellipse: (y - 2)^2/1 + x^2/4 = 1
Then, I need to decide if the parabola fits in the hole.
Found 2 solutions by Nate, stanbon:
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
I guess it does fit if you mean 3D. But it is just plain in 2D.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I have a parabolic shape that is shown as: y = 2x^2
I also need to graph an ellipse: (y - 2)^2/1 + x^2/4 = 1
Then, I need to decide if the parabola fits in the hole.
----------------
You need to carefully sketch the parabolic shape and the
information about the ellipse on a graph. Then make a
determination regarding the answer to your question.
-----------------
Your parabolic shape has a vertex at (0,0) but you haven't
said what it's domain is---that would determine how far up
or down or to he right or to the left it goes.
--------
The ellipse has its center at (0,2).
------------
When x=0, (y-2)^2=1 ; y-2=+-1; y=3 or y=1
So the ellipse intersects the y-axis at (0,1) and (0,3)
---------
When y=2, x^2=4; x=+-2
So the ellipse passes through (2,2) and (-2,2)
When y=0, 4+x^2/4=1; x^2=-12;
So the ellipse does not touch the x-axis.
----------
Hopefully from all this you can figure out the
answer to your question.
Cheers,
Stan H.
RELATED QUESTIONS
I need to graph y=2x-1,... (answered by checkley77,richwmiller)
For my question y = 2x + 2, is that the same as y < 2x+ 2? I also need to graph it.
I... (answered by longjonsilver)
I have an equation of a semi-ellipse that I found from the graph. I need to get it into... (answered by stanbon,Boreal)
Hello, I really need urgent help on solving these following conics equations from it's... (answered by MathLover1)
I need to graph y=(1/2)^x-3 +1
I also need to find the intercepts. Can anyone... (answered by Nate)
I need help graphing. How would I graph: y= -1/2x + 3, y = 0, x = -2, then i have to find (answered by richwmiller)
I need these problems solved also to include all work and graphs. Please dumb it down for (answered by lynnlo)
y= (x+4)-(x+1)
the (brackets) are supposed to be the absolute value bar lines
i... (answered by stanbon)
I need to solve for both x and y so that I can graph them.
y+5 = -2(x-4)
Here is... (answered by ankor@dixie-net.com)