# Discriminants and graphing

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PART ONE:

ATTACHED

PART TWO:

what type of graph is:

x^2 + 3y^2 - 4x + 6y = -1

A) parabola

B) circle

C) ellipse

D) hyperbola

PART THREE:

Find the value of the discriminant of the equation. Describe the roots completely. Do not solve.

3x^2 + 4x - 5 = 0

A) 31; 2 real, irrational roots

B) -44; 2 imaginary roots

C) 76; 2 real, rational roots

D) 76; 2 real., irrational roots

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#### Solution Preview

Solution.

Part One. since 5x^2+9y^2=45 <==> x^2/9+y^2/5=1

The graph is ellipse with intersection points (-3,0) ...

#### Solution Summary

This shows how to find discriminants and how to identify the shape of a graph given the equation

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