Warmup Write the equation in standard form. State whether the graph of 3y2 – 18y – 11 = –x is a parabola, circle, ellipse, or hyperbola. A. x2 + (y – 3)2.

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Presentation transcript:

Warmup Write the equation in standard form. State whether the graph of 3y2 – 18y – 11 = –x is a parabola, circle, ellipse, or hyperbola. A. x2 + (y – 3)2 = 18; circle B. x = –3(y – 3)2 + 38; parabola C. D.

9-7 Solving Linear-Nonlinear Systems Solve systems of equations that involve conics and lines.

We can rely on the same basic methods to solve systems of quadratics as we used for systems of linear equations. The main ones are substitution and graphing. Elimination works sometimes as well. We can get no intersections all the way up to 4 intersections for some of these.

Solve the system of equations Any first step you can see?

Solve the system:

Solve the system

Some problems are more easily solved by graphing.