SOLUTION: These are more graphing problems I don't get :o( Draw the graph of the equation x^2/9 + y^2/16 =1 Draw the graph of the equation 4x^2-9y^2 =36 Draw the graph of the equat

Algebra ->  Algebra  -> Test -> SOLUTION: These are more graphing problems I don't get :o( Draw the graph of the equation x^2/9 + y^2/16 =1 Draw the graph of the equation 4x^2-9y^2 =36 Draw the graph of the equat      Log On

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Question 91185: These are more graphing problems I don't get :o(
Draw the graph of the equation x^2/9 + y^2/16 =1
Draw the graph of the equation 4x^2-9y^2 =36
Draw the graph of the equation x=(y+1)^2+2
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given 3 equations are:

1) +x%5E2%2F9+%2B+y%5E2%2F16+=+1+

This is an equation in the form of +%28%28x%5E2%2Fa%5E2%29+%2B+%28y%5E2%2Fb%5E2%29%29+=+1+

On comparing, we find that the given equation represents an ellipse.

Hence, the graph looks in this way.

+graph%28+300%2C+300%2C+-15%2C+15%2C+-15%2C+15%2C+4%2A%28sqrt%281+-+x%5E2%2F9%29%29%2C%28-4%2A%28sqrt%281+-+x%5E2%2F9%29%29%29+%29+

The second equation is: +4x%5E2+-+9y%5E2+=+36+

Comparing this equation with the standard equation +%28%28x%5E2%2Fa%5E2%29+-+%28y%5E2%2Fb%5E2%29%29+=+1+ we find that the given equation represents a hyperbola.


Hence, the graph looks in this way.

+graph%28+300%2C+300%2C+-15%2C+15%2C+-15%2C+15%2C%28sqrt%28%28x%5E2+-+36%29%29%2F3%29%2C+%28-%28sqrt%28%28x%5E2+-+36%29%29%2F3%29%29+%29+


The third equation is:

x+=+%28y%2B1%29%5E2+%2B+2+


This can be written as:

y+=+%281+%2B-+sqrt%28x+-+2%29%29

Hence, the graph looks like this.

+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+1+%2B+sqrt%28x+-+2%29%2C+1+-+sqrt%28x+-+2%29%29+