Since you know that , you can immediately calculate and and put them into those equations. What is stopping you?
A) Use the Discriminant test to determine whether the graph of the equation is a parabola, an ellipse, or a hyperbola.
B) Find a suitable rotation of axis
C) Find an equation for the graph in a - plane
D) Sketch the graph over top both coordinate systems with your angle of rotation displayed.
My Work:
A) So, The equation is a parabola.
B) Here's where I get somewhat confused, so bear with my work.
From here on I'm not really quite sure what to do. The notes I have on this don't really give me enough help to continue on. I know later on though I have to utilize these:
Is this equation correct for the graph in the - plane? I'm having a little trouble putting this in the correct form of a parabola (if this equation is correct that is), if someone could point me in the right direction that would be great.