Chapter 10: Q. 11 (page 699)
In problems, find an equation of the conic described. Graph the equation by hand.
Parabola; focus at; directrix the line
Short Answer
The equation of the parabola is
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Chapter 10: Q. 11 (page 699)
In problems, find an equation of the conic described. Graph the equation by hand.
Parabola; focus at; directrix the line
The equation of the parabola is
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Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand.
Vertex at; axis of symmetry is y-axis ; containing the point.
In Problems 43–52, identify the graph of each equation without applying a rotation of axes.
Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand.
The directix of a lineand the vertex is at.
Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand.
Focus at and directix of the line .
Semi elliptical Arch Bridge An arch in the shape of the upper half of an ellipse is used to support a bridge that is to span a river meters wide. The center of the arch is meters above the center of the river. See the figure. Write an equation for the ellipse in which the x-axis coincides with the water level and the y-axis passes through the center of the arch.
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