Exam 9: Conic Sections Systems of Non-Linear Equations

The lower left vertex of a square is the point (3, -2) . The upper left vertex of the square is the point (3, 7) . Find the other two vertices of this square.

For all the hyperbolas in these questions the center of the hyperbola is (0, 0) . The foci of a hyperbola are (-9, 0) and (9, 0) , and the vertex is ( -6, 0) . -Identify a, p, and b.

For all the hyperbolas in these questions the center of the hyperbola is (0, 0) . Use the equation of a hyperbola to answer the questions. Do not round irrational coordinates. -Identify the foci.

The major axis of an ellipse is horizontal, and the vertices of the major axis are and . The minor axis is vertical, and the vertices of the minor axis are and . Write the equation of the major axis.

The major axis of an ellipse is horizontal, and the vertices of the major axis are and . The minor axis is vertical, and the vertices of the minor axis are and . Write the equation of the minor axis.

For all the hyperbolas in these questions the center of the hyperbola is (0, 0) . -The foci of a hyperbola are And , and the vertices are and . Identify a, b, and p.

Graph the system of equations, and use the graph to estimate the solutions. -

Solve the system of equations by elimination. -

The headlight of an automobile is parabolic in shape. If the diameter is 4 inches and the depth is 1 inch, find the distance on the axis of symmetry from the vertex to the focus.

For all the hyperbolas in these questions the center of the hyperbola is (0 ,0 ) . The vertex of a hyperbola is (7,0) , the focus is (8,0) , and the transverse axis is y = 0 . -Write the equation of the hyperbola.

For all the hyperbolas in these questions the center of the hyperbola is (0, 0). The vertex is ( 0, -2) , the focus is (0, 4) , and the transverse axis is x= 0 . -Identify a, p, and b.

For all the hyperbolas in these questions the center of the hyperbola is (0, 0) . -For the hyperbola write the equations of the asymptotes.

For the parabola use interval notation to represent the domain and range.

The center of an ellipse is (0, 0) . The major axis is horizontal, and the distance between vertices on the major axis is 24. The minor axis is vertical, and the distance between vertices on the minor axis is 8. -Identify the vertices.

Use the parabola to answer the questions. -Identify the vertex.

Use the distance formula to find the exact distance between the points (15, -2) and ( -3, 13) .

Sketch the graph that represents the equation

Solve the system of equations by elimination. -

Write the equation in standard form of the circle with center (0, 0) and radius 4.

Rewrite the equation of the circle in standard form.